which_o the_o moon_n will_v be_v vertical_a that_o day_n viz._n one_o after_o another_o 19_o see_v proposition_n 13._o in_o chap._n 19_o the_o use_n of_o this_o problem_n be_v great_a yea_o very_a necessary_a in_o the_o doctrine_n concern_v the_o flux_n and_o reflux_n of_o the_o sea_n the_o mode_n of_o perform_v of_o the_o same_o you_o shall_v find_v in_o the_o nineteenth_o chapter_n and_o the_o thirteen_o proposition_n for_o there_o it_o be_v more_o convenient_o explain_v yet_o the_o explication_n of_o that_o proposition_n may_v be_v anticipate_v and_o demonstrate_v to_o the_o studious_a in_o this_o chapter_n proposition_n xvi_o in_o those_o place_n of_o the_o sea_n to_o which_o the_o moon_n be_v vertical_a the_o flux_n and_o deflux_n be_v great_a except_o that_o there_o be_v other_o impediment_n which_o we_o have_v reckon_v up_o in_o the_o fourteen_o proposition_n and_o by_o how_o much_o the_o part_n of_o the_o sea_n be_v more_o remote_a from_o the_o place_n by_o so_o much_o the_o flux_n and_o deflux_n be_v lesser_a other_o thing_n be_v equal_a for_o because_o in_o that_o place_n the_o pressure_n be_v great_a and_o the_o tumour_n of_o the_o water_n great_a which_o be_v more_o vicine_fw-la to_o the_o moon_n press_v and_o the_o celestial_a matter_n thence_o follow_v that_o that_o the_o proposition_n intimate_v the_o objection_n concern_v some_o other_o place_n in_o the_o comparison_n of_o which_o the_o contrary_a be_v find_v be_v to_o be_v excuse_v by_o the_o admixtion_n of_o other_o cause_n proposition_n xvii_o the_o quantity_n of_o the_o flux_n and_o reflux_n be_v unconstant_a in_o every_o place_n and_o divers_a on_o several_a day_n and_o by_o so_o much_o the_o great_a or_o lesser_a by_o how_o much_o the_o moon_n be_v more_o remote_a or_o near_o unto_o that_o place_n ecliptic_a the_o moon_n every_o day_n change_v her_o place_n in_o the_o ecliptic_a for_o the_o moon_n every_o day_n change_v her_o place_n in_o the_o ecliptic_a and_o so_o on_o other_o day_n be_v vertical_a to_o other_o place_n and_o by_o consequence_n be_v more_o remote_a from_o any_o place_n or_o more_o near_o which_o be_v observe_v we_o conclude_v from_o the_o precede_a proposition_n that_o there_o be_v a_o divers_a quantity_n of_o the_o flux_n and_o reflux_n in_o one_o and_o the_o same_o place_n on_o divers_a day_n whether_o that_o the_o diversity_n be_v sensible_a or_o insensible_a proposition_n xviii_o the_o great_a intumescency_n of_o water_n in_o any_o place_n and_o term_v of_o the_o flux_n aught_o to_o be_v when_o that_o the_o moon_n do_v occupy_v the_o meridian_n of_o the_o place_n but_o in_o many_o place_n it_o be_v find_v to_o be_v in_o another_o situation_n of_o the_o moon_n for_o than_o be_v the_o moon_n most_o nigh_o to_o any_o place_n of_o the_o earth_n when_o that_o it_o be_v in_o the_o meridian_n of_o that_o place_n because_o that_o the_o hypotenusa_fw-la of_o a_o right_a angle_a triangle_n be_v low_a than_o the_o cathetus_n whence_o it_o be_v infer_v by_o the_o xvi_o proposition_n that_o when_o the_o moon_n be_v in_o the_o meridian_n 16._o see_v proposition_n 16._o there_o ought_v to_o be_v the_o great_a intumescency_n and_o altitude_n of_o water_n and_o immediate_o a_o decrease_n to_o succeed_v but_o when_o the_o moon_n be_v in_o the_o low_a of_o the_o meridian_n than_o the_o narrow_a of_o the_o vortex_n of_o the_o earth_n opposite_a to_o it_o in_o the_o upper_a meridian_n and_o therefore_o do_v effect_v the_o same_o as_o if_o that_o the_o body_n of_o the_o moon_n be_v present_a but_o here_o arise_v a_o great_a difficulty_n for_o there_o be_v many_o place_n and_o coast_n of_o the_o earth_n in_o which_o we_o find_v that_o the_o term_n of_o the_o flux_n be_v not_o when_o that_o the_o moon_n come_v to_o the_o meridian_n as_o the_o philosopher_n hold_v before_o this_o age_n but_o soon_o or_o late_a viz._n when_o that_o the_o moon_n come_v to_o a_o certain_a quarter_n not_o cardinal_n and_o this_o quarter_n be_v not_o constant_o observe_v but_o in_o new_a and_o full_a moon_n for_o the_o most_o part_n the_o great_a intumescency_n be_v and_o the_o begin_n of_o a_o detumescency_n before_o the_o moon_n come_v to_o this_o quarter_n or_o vertical_a circle_n so_o at_o london_n the_o water_n be_v at_o the_o high_a when_o the_o moon_n come_v to_o the_o quarter_n which_o be_v between_o the_o south_n and_o west_n or_o north_n and_o east_n that_o be_v to_o the_o south_n west_n or_o north_n east_n quarter_n at_o the_o coast_n of_o china_n in_o the_o port_n of_o the_o city_n maccau_n portugal_n the_o great_a flux_n at_o the_o coast_n of_o china_n observe_v by_o a_o portugal_n a_o certain_a portugal_n mariner_n observe_v the_o time_n of_o the_o great_a intumescency_n by_o this_o mode_n the_o elevation_n of_o the_o pole_n be_v 22_o degree_n 20_o minute_n in_o the_o year_n 1584._o on_o the_o 19_o of_o september_n the_o moon_n be_v at_o full_a than_o the_o intumescency_n or_o altitude_n of_o the_o high_a water_n be_v observe_v in_o the_o morning_n at_o ½_n or_o ¼_n of_o a_o hour_n past_o 8._o therefore_o then_o the_o moon_n be_v remove_v from_o the_o meridian_n 3_o ¼_n hour_n whence_o the_o quarter_n or_o vertical_a circle_n in_o which_o the_o moon_n at_o that_o moment_n of_o time_n be_v be_v find_v according_a to_o the_o problem_n of_o the_o 30_o chapter_n anno_fw-la 1585._o on_o the_o 16_o of_o february_n in_o the_o full_a moon_n the_o great_a height_n of_o water_n be_v observe_v at_o half_a a_o hour_n past_o a_o eleven_o a_o clock_n at_o noon_n place_n certain_a observation_n take_v by_o a_o dutch_a mariner_n of_o the_o flux_n of_o the_o sea_n in_o many_o place_n a_o certain_a dutch_a mariner_n on_o the_o day_n of_o the_o new_a and_o full_a moon_n note_v the_o hour_n of_o divers_a place_n for_o the_o term_n or_o intumescency_n of_o the_o flux_n from_o which_o i_o have_v extract_v these_o at_o the_o twelve_o hour_n on_o the_o day_n of_o the_o new_a and_o full_a moon_n on_o the_o coast_n of_o flanders_n at_o enchusen_n in_o holland_n at_o horn_n at_o embden_n in_o east_n freezland_n at_o the_o mouth_n of_o the_o elve_n at_o eider_n at_o the_o isle_n of_o jutland_n and_o at_o dover_n at_o england_n at_o 45_o minute_n past_o 12_o at_o flushing_n in_o zealand_n half_o a_o hour_n after_o one_o a_o clock_n at_o the_o occidental_a coast_n of_o the_o isle_n of_o wight_n at_o calis_n at_o the_o mouth_n of_o the_o river_n of_o thames_n at_o the_o shore_n of_o zealand_n in_o the_o mouth_n of_o scald_v in_o mosa_n and_o at_o gore_v a_o quarter_n after_o two_o before_o the_o mouth_n of_o scald_v and_o the_o mouth_n of_o mosa_n at_o three_o a_o clock_n at_o amsterdam_n rotterdam_n dort_n in_o holland_n at_o newcastle_n in_o england_n at_o arment_n in_o flanders_n in_o the_o mouth_n of_o the_o river_n of_o bordeaux_n in_o the_o south_n coast_n of_o britain_n gallocia_n gascoyn_n biscay_n portugal_n and_o spain_n and_o on_o the_o western_a coast_n of_o ireland_n even_o to_o hitland_n a_o quarter_n after_o four_o in_o the_o evening_n at_o rouen_n in_o france_n between_o mosa_n and_o rochel_n in_o the_o river_n of_o bordeaux_n in_o the_o bay_n of_o the_o spanish_a portugal_n and_o gallecian_a coast_n in_o the_o south_n coast_n of_o britain_n in_o france_n gascoyn_n and_o on_o the_o western_a coast_n of_o ireland_n half_n a_o hour_n past_o four_o from_o the_o texel_n at_o the_o south_n coast_n of_o ireland_n a_o quarter_n past_o five_o in_o all_o the_o port_n of_o the_o southern_a coast_n of_o ireland_n at_o plymouth_n in_o england_n and_o other_o southern_a place_n of_o it_o even_o to_o the_o coast_n of_o wales_n at_o six_o in_o the_o evening_n and_o morning_n before_o hamburgh_n in_o the_o elbe_n before_o bremen_n the_o texel_n antwerp_n in_o the_o channel_n between_o england_n and_o brabant_n without_o sorlis_n a_o quarter_n before_o seven_o in_o the_o evening_n between_o fawick_n and_o vaelmuya_n in_o the_o channel_n even_o to_o bristol_n before_o st._n nicholas_n and_o podessembe_n even_o to_o waymouth_n and_o hartepole_n at_o half_a a_o hour_n past_o seven_o in_o the_o haven_n at_o the_o texel_n at_o kilduyna_n in_o the_o middle_n of_o the_o channel_n nigh_o plymouth_n and_o in_o the_o sea_n even_o to_o the_o promontory_n of_o the_o lizard_n a_o quarter_n past_o eight_o in_o the_o evening_n nigh_o the_o isle_n of_o wight_n in_o the_o channel_n even_o to_o bevesier_n without_o the_o fly_n on_o the_o coast_n of_o holland_n at_o nine_o before_o the_o mouth_n of_o the_o river_n ems_n in_o freezland_n before_o the_o fly_n before_o the_o coast_n of_o freezland_n at_o the_o eastern_a coast_n of_o the_o isle_n of_o wight_n at_o half_a a_o hour_n past_o ten_o before_o the_o mouth_n of_o the_o river_n thames_n on_o the_o coast_n of_o normandy_n and_o picardy_n and_o at_o a_o quarter_n
channel_n as_o for_o the_o increase_n of_o zenega_n which_o only_o have_v four_o hour_n whether_o the_o cause_n ought_v to_o be_v ascribe_v to_o the_o extension_n of_o the_o channel_n from_o the_o west_n to_o the_o east_n or_o unto_o the_o swift_a deflux_n of_o zenega_n which_o may_v prohibit_v the_o influx_n for_o two_o hour_n or_o whether_o to_o some_o other_o cause_n i_o question_v and_o require_v a_o more_o accurate_a observation_n viz._n whether_o it_o decrease_v eight_o hour_n or_o only_o six_o hour_n and_o in_o the_o other_o two_o do_v neither_o increase_v nor_o decrease_v because_o the_o strong_a flux_n of_o the_o river_n hinder_v the_o flux_n that_o also_o must_v be_v consider_v that_o depress_v and_o low_a place_n may_v have_v the_o flux_n in_o more_o hour_n and_o the_o deflux_n in_o few_o proposition_n xx._n whether_o the_o flux_n do_v begin_v when_o the_o moon_n touch_v the_o horizon_n or_o in_o the_o increment_n be_v in_o the_o place_n who_o the_o horizon_n be_v so_o they_o common_o say_v but_o yet_o we_o hold_v the_o contrary_a in_o those_o place_n in_o which_o the_o water_n be_v at_o the_o high_a when_o that_o the_o moon_n be_v in_o the_o meridian_n for_o when_o the_o moon_n decline_v from_o the_o aequator_fw-la towards_o the_o south_n than_o she_o arrive_v at_o the_o meridian_n in_o less_o than_o six_o hour_n and_o therefore_o the_o flux_n shall_v begin_v when_o that_o the_o moon_n be_v yet_o depress_v beneath_o the_o horizon_n on_o the_o contrary_a when_o that_o the_o moon_n decline_v from_o the_o aequator_fw-la towards_o the_o north_n she_o require_v more_o than_o six_o hour_n to_o come_v from_o the_o horizon_n to_o the_o meridian_n and_o therefore_o when_o that_o the_o moon_n be_v elevate_v above_o the_o horizon_n unto_o the_o horary_a circle_n of_o the_o six_o hour_n then_o at_o length_n the_o flux_n begin_v and_o so_o it_o be_v observe_v in_o most_o place_n but_o the_o contrary_n be_v at_o london_n as_o we_o have_v say_v in_o the_o precedent_a proposition_n nineteeen_o see_v proposition_n nineteeen_o and_o the_o reason_n seem_v to_o require_v that_o although_o the_o moon_n decline_v from_o the_o aequator_fw-la towards_o the_o north_n yet_o that_o the_o flux_n shall_v begin_v in_o the_o place_n where_o the_o moon_n come_v to_o the_o horizon_n for_o then_o the_o place_n be_v distant_a by_o a_o quarter_n from_o the_o place_n unto_o which_o the_o moon_n be_v vertical_a and_o therefore_o the_o pressure_n of_o the_o sea_n come_v or_o extend_v hither_o and_o here_o more_o accurate_a observation_n be_v require_v proposition_n xxi_o the_o hour_n be_v give_v in_o which_o the_o great_a or_o least_o altitude_n of_o the_o water_n be_v on_o the_o day_n of_o the_o new_a or_o full_a moon_n in_o the_o place_n where_o the_o ordinary_a flux_n and_o reflux_n be_v viz._n of_o six_o hour_n with_o twelve_o degree_n to_o determine_v the_o hour_n of_o the_o day_n follow_v after_o the_o new_a moon_n in_o which_o the_o great_a or_o least_o altitude_n shall_v be_v proposition_n see_v the_o forego_n proposition_n we_o have_v say_v in_o the_o forego_n proposition_n that_o the_o time_n of_o the_o great_a increase_n and_o decrease_v if_o we_o have_v respect_n to_o the_o middle_a motion_n of_o the_o moon_n from_o the_o sun_n in_o one_o day_n after_o place_v 48_o ¾_n horary_a minute_n in_o half_a a_o day_n 24_o â…œ_n minute_n if_o therefore_o the_o great_a increase_n in_o any_o place_n happen_v on_o the_o day_n of_o the_o new_a or_o full_a moon_n on_o the_o twelve_o hour_n of_o the_o day_n these_o hour_n of_o increase_n shall_v be_v on_o the_o follow_a day_n the_o age_n of_o â—he_n moon_n the_o hour_n of_o the_o day_n scruple_n 1_o 12_o 48_o 2_o 1_o 37_o 3_o 2_o 27_o 4_o 3_o 17_o 5_o 4_o 5_o 6_o 4_o 55_o 7_o 5_o 59_o 8_o 6_o 49_o 9_o 7_o 23_o 10_o 8_o 12_o 11_o 8_o 56_o 12_o 9_o 51_o 13_o 10_o 40_o 14_o 11_o 29_o 14½_n 12_o mid_a night_n  _fw-fr 15_o 12_o mid_a day_n  _fw-fr viz._n in_o the_o end_n of_o the_o first_o day_n of_o the_o age_n of_o the_o moon_n the_o great_a intumescency_n fall_v out_o late_a by_o 48¼_n horary_a minute_n but_o in_o practice_n it_o be_v sufficient_a to_o add_v to_o the_o hour_n of_o the_o new_a moon_n for_o the_o end_n of_o the_o first_o day_n 48_o minute_n or_o ¼_n of_o a_o hour_n for_o the_o end_n hour_n of_o the_o second_o 1½_n for_o the_o three_o 2½_n for_o the_o four_o 3¼_n for_o the_o five_o 4_o for_o the_o six_o 5_o for_o the_o seven_o 5¼_n for_o the_o eight_o 6¾_n for_o the_o nine_o 7_o for_o the_o ten_o 8¼_n for_o the_o eleven_o 9_o for_o the_o twelve_o 9¼_n for_o the_o thirteen_o 10â…”_n for_o the_o fourteen_o 11½_n for_o the_o fifteen_o 12¼_n this_o supputation_n of_o time_n suppose_v the_o middle_a or_o equal_a motion_n of_o the_o moon_n from_o the_o sun_n which_o notwithstanding_o be_v unequal_a so_o that_o the_o moon_n in_o her_o perigee_n depart_v more_o swift_o from_o the_o sun_n than_o in_o her_o apogee_n and_o therefore_o then_o the_o great_a increase_n be_v long_o protract_v than_o six_o hour_n and_o twelve_o minute_n but_o when_o the_o moon_n be_v in_o the_o apogee_n the_o increase_n be_v more_o quick_a for_o certain_a true_a lunary_n month_n exceed_v 30_o day_n other_o be_v less_o than_o 29_o day_n day_n true_a lunary_n month_n exceed_v 30._o day_n when_o that_o the_o mean_v of_o 29_o day_n twelve_o hour_n 44_o minute_n be_v assume_v but_o in_o place_n where_o the_o great_a or_o least_o altitude_n be_v make_v by_o the_o appulse_n of_o the_o moon_n to_o a_o certain_a vertical_a place_n although_o it_o be_v do_v after_o the_o same_o manner_n yet_o for_o all_o that_o the_o time_n be_v not_o so_o accurate_o discover_v for_o neither_o do_v the_o same_o time_n in_o which_o the_o moon_n be_v join_v to_o the_o sun_n fall_v out_o on_o the_o hour_n of_o the_o day_n or_o the_o same_o moment_n of_o the_o same_o hour_n in_o divers_a new_a moon_n how_o this_o be_v perform_v by_o the_o terrestrial_a globe_n 37._o see_v chap._n 30._o and_o 37._o we_o shall_v show_v in_o the_o xxx_o chapter_n and_o in_o the_o thirty_o seven_o chapter_n we_o shall_v treat_v more_o of_o the_o use_n of_o navigation_n concern_v a_o more_o accurate_a method_n we_o may_v also_o use_v this_o method_n for_o those_o place_n where_o the_o time_n of_o the_o flux_n be_v more_o or_o less_o than_o in_o the_o time_n of_o the_o deflux_n so_o that_o we_o be_v certain_a of_o the_o difference_n the_o consideration_n of_o the_o thing_n itself_o and_o practice_n will_v more_o easy_o teach_v this_o than_o our_o discourse_n proposition_n xxii_o the_o wind_n do_v oftentimes_o protract_v and_o often_o diminish_v the_o time_n of_o the_o flux_n or_o reflux_n in_o some_o place_n neither_o be_v wind_n of_o that_o place_n only_o able_a to_o do_v it_o but_o wind_n blow_v in_o a_o other_o place_n may_v also_o effect_v the_o same_o the_o truth_n of_o the_o proposition_n be_v so_o manifest_a that_o it_o need_v no_o demonstration_n proposition_n xxiii_o great_a be_v the_o variety_n of_o peculiar_a or_o proper_a motion_n of_o the_o sea_n viz._n in_o which_o a_o certain_a part_n of_o the_o ocean_n be_v move_v either_o perpetual_o or_o in_o some_o certain_a month_n senator_n peculiar_a motion_n of_o the_o senator_n the_o first_o of_o those_o peculiar_a motion_n which_o be_v most_o considerable_a be_v that_o motion_n by_o which_o part_n of_o the_o atlantic_a or_o african_a ocean_n about_o guinee_n be_v move_v from_o cape_n verd_fw-mi towards_o the_o bend_n of_o africa_n which_o be_v call_v fernando_n poo_n that_o be_v from_o the_o west_n to_o the_o east_n which_o be_v contrary_a to_o the_o general_a motion_n from_o the_o east_n to_o the_o west_n now_o this_o motion_n be_v vehement_a so_o that_o it_o violent_o toss_v the_o ship_n approach_v to_o the_o shore_n unto_o this_o gulf_n beyond_o the_o imagination_n of_o the_o mariner_n and_o supputation_n of_o their_o voyage_n thence_o it_o come_v to_o pass_v that_o ship_n which_o have_v sail_v in_o two_o day_n from_o the_o coast_n of_o mourrae_n to_o rio_n de_fw-fr benin_n which_o be_v one_o hundred_o mile_n scarce_o in_o six_o or_o seven_o week_n can_v return_v from_o rio_n de_fw-fr benin_n to_o mourrie_v except_o they_o launch_v out_o into_o the_o middle_a sea_n which_o be_v not_o easy_o to_o be_v perform_v see_v that_o the_o sea_n be_v move_v with_o a_o strong_a motion_n to_o the_o north-east_n quarter_n from_o the_o isle_n of_o st._n thomas_n to_o the_o gulf_n of_o fernando_n poo_n carry_v in_o with_o it_o the_o ship_n although_o they_o have_v a_o fair_a north_n east_n wind_n and_o they_o can_v hardly_o get_v from_o that_o coast_n except_o they_o be_v force_v thence_o by_o those_o sudden_a wind_n term_v travado_n which_o sometime_o
parallel_n long_a day_n elevation_n of_o the_o pole_n the_o interval_n  _fw-fr  _fw-fr hour_n min._n deg_fw-la min._n  _fw-fr  _fw-fr the_o first_o the_o begin_n middle_a end_n &_o begin_n of_o the_o 2._o 12_o 0_o 0_o 0_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 12_o 15_o 4_o 15_o 0_o 1_o  _fw-fr  _fw-fr 12_o 30_o 8_o 25_o 8_o 25_o  _fw-fr  _fw-fr 12_o 45_o 12_o 30_o  _fw-fr  _fw-fr the_o second_o the_o middle_a the_o end_n 13_o 0_o 16_o 25_o 8_o  _fw-fr  _fw-fr  _fw-fr 13_o 15_o 20_o 15_o  _fw-fr  _fw-fr the_o three_o the_o middle_a the_o end_n 13_o 30_o 23_o 50_o 7_o 25_o  _fw-fr  _fw-fr 13_o 45_o 27_o 40_o  _fw-fr  _fw-fr the_o four_o the_o middle_a the_o end_n 14_o 0_o 30_o 20_o 6_o 30_o  _fw-fr  _fw-fr 14_o 15_o 33_o 40_o  _fw-fr  _fw-fr the_o five_o the_o middle_a the_o end_n 14_o 30_o 36_o 28_o 6_o 8_o  _fw-fr  _fw-fr 14_o 45_o 39_o 2_o  _fw-fr  _fw-fr the_o six_o the_o middle_a the_o end_n 15_o 0_o 41_o 22_o 4_o 52_o  _fw-fr  _fw-fr 15_o 15_o 43_o 32_o  _fw-fr  _fw-fr the_o seven_o the_o middle_a the_o end_n 15_o 30_o 45_o 29_o 4_o 7_o  _fw-fr  _fw-fr 15_o 45_o 47_o 20_o  _fw-fr  _fw-fr the_o eighth_z the_o middle_a the_o end_n 16_o 0_o 49_o 1_o 3_o 31_o  _fw-fr  _fw-fr 16_o 15_o 50_o 33_o  _fw-fr  _fw-fr the_o nine_o the_o middle_a the_o end_n 16_o 30_o 51_o 58_o 2_o 7_o  _fw-fr  _fw-fr 16_o 45_o 53_o 17_o  _fw-fr  _fw-fr the_o ten_o the_o middle_a the_o end_n 17_o 0_o 54_o 27_o 2_o 49_o  _fw-fr  _fw-fr 17_o 15_o 55_o 34_o  _fw-fr  _fw-fr the_o eleven_o the_o middle_a the_o end_n 17_o 30_o 56_o 37_o 2_o 10_o  _fw-fr  _fw-fr 17_o 45_o 57_o 32_o  _fw-fr  _fw-fr the_o twelve_o the_o middle_a the_o end_n 18_o 0_o 58_o 29_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 18_o 15_o 59_o 14_o  _fw-fr  _fw-fr the_o thirteen_o the_o middle_a the_o end_n 18_o 30_o 59_o 58_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 18_o 45_o 60_o 40_o  _fw-fr  _fw-fr the_o fourteen_o the_o middle_a the_o end_n 19_o 0_o 61_o 18_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 19_o 15_o 61_o 55_o  _fw-fr  _fw-fr the_o fifteen_o the_o middle_a the_o end_n 19_o 30_o 62_o 25_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 19_o 45_o 62_o 54_o  _fw-fr  _fw-fr the_o sixteenth_o the_o middle_a the_o end_n 20_o 0_o 63_o 22_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 20_o 15_o 64_o 40_o  _fw-fr  _fw-fr the_o seventeen_o the_o middle_a the_o end_n 20_o 30_o 64_o 6_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 20_o 45_o 64_o 30_o  _fw-fr  _fw-fr the_o eighteen_o the_o middle_a the_o end_n 21_o 0_o 65_o 49_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 21_o 15_o 65_o 6_o  _fw-fr  _fw-fr the_o nineteenth_o the_o middle_a the_o end_n 21_o 30_o 65_o 21_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 21_o 45_o 65_o 35_o  _fw-fr  _fw-fr the_o twenty_o the_o middle_a the_o end_n 22_o 0_o 65_o 47_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 22_o 15_o 66_o 57_o  _fw-fr  _fw-fr the_o 21_o the_o middle_a the_o end_n 22_o 30_o 66_o 6_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 22_o 45_o 66_o 14_o  _fw-fr  _fw-fr the_o 22d_o the_o middle_a the_o end_n 23_o 0_o 66_o 20_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 23_o 15_o 66_o 25_o  _fw-fr  _fw-fr the_o 23d_o the_o middle_a the_o end_n 23_o 30_o 66_o 28_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 23_o 45_o 66_o 30_o  _fw-fr  _fw-fr the_o 24_o the_o middle_a the_o end_n 24_o 0_o 66_o 31_o  _fw-fr  _fw-fr the_o climate_n be_v wont_a to_o be_v extend_v no_o further_o because_o that_o in_o the_o follow_a place_n the_o long_a day_n do_v not_o increase_v by_o hour_n but_o by_o whole_a day_n or_o diurnal_a revolution_n and_o it_o be_v lose_v labour_n to_o compute_v they_o notwithstanding_o the_o follow_a canon_n will_v show_v the_o elevation_n of_o the_o pole_n or_o latitude_n of_o the_o place_n where_o the_o long_a day_n increase_v by_o whole_a month_n month_n 1_o 2_o 3_o 4_o 5_o 6_o the_o latitude_n of_o the_o place_n deg_fw-la min._n deg_fw-la min._n deg_fw-la min._n deg_fw-la min._n deg_fw-la min._n deg_fw-la min._n  _fw-fr 67_o 20_o 69_o 30_o 73_o 20_o 78_o 20_o 84_o 0_o 90_o 0_o proposition_n fourteen_o to_o explain_v the_o method_n of_o other_o geographer_n in_o reckon_n of_o the_o climate_n and_o make_v the_o table_n of_o the_o climate_n geographer_n the_o division_n of_o the_o earth_n into_o climate_n by_o the_o ancient_a geographer_n the_o ancient_a geographer_n especial_o the_o grecian_n who_o suppose_v only_o a_o small_a portion_n of_o the_o earth_n to_o be_v inhabit_v because_o that_o as_o well_o the_o place_n northern_o as_o those_o of_o the_o torrid_a zone_n they_o deny_v as_o impossible_a to_o be_v inhabit_v therefore_o they_o divide_v only_o that_o portion_n of_o the_o earth_n which_o they_o know_v into_o climate_n and_o so_o only_o number_v seven_o climate_n from_o the_o aequator_fw-la towards_o the_o pole_n arctic_a and_o name_v they_o from_o some_o note_a place_n through_o which_o the_o parallel_n of_o the_o climate_n pass_v viz._n the_o first_o climate_n they_o call_v the_o climate_n through_o meroe_n which_o be_v a_o island_n and_o city_n in_o africa_n encompass_v by_o the_o nile_n the_o second_o through_o syene_n a_o city_n of_o egypt_n the_o three_o through_o alexandria_n in_o egypt_n the_o four_o through_o the_o island_n of_o rhodes_n the_o five_o through_o the_o hellespont_n other_o through_o rome_n the_o six_o through_o borysthenes_n a_o famous_a river_n of_o the_o european_a sarmatia_n the_o seven_o through_o the_o riphaean_a mountain_n of_o sarmatia_n the_o ancient_n number_v not_o the_o other_o climate_n from_o the_o other_o side_n of_o the_o aequator_fw-la towards_o the_o south_n because_o all_o those_o place_n be_v unknown_a to_o they_o and_o many_o thought_n that_o the_o sea_n possess_v all_o the_o superficies_n of_o the_o earth_n which_o see_v it_o seem_v somewhat_o improbable_a to_o the_o latter_a these_o also_o number_v the_o climate_n from_o the_o other_o side_n of_o the_o aequator_fw-la and_o they_o name_v they_o not_o from_o any_o note_a place_n for_o they_o have_v no_o knowledge_n of_o any_o but_o by_o the_o same_o appellation_n with_o those_o of_o the_o northern_a only_o prepose_v the_o preposition_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d as_o the_o climate_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d as_o if_o you_o shall_v say_v the_o climate_n opposite_a to_o the_o climate_n through_o meroe_n or_o syene_n etc._n etc._n ancient_n other_o climate_n add_v by_o the_o ancient_n but_o when_o through_o progress_n of_o time_n they_o discover_v many_o part_n of_o the_o earth_n lie_v towards_o the_o south_n pole_n to_o be_v inhabit_v many_o more_o climate_n be_v number_v and_o constitute_v some_o name_v the_o eight_o clime_n from_o the_o palus_n maeotis_n the_o nine_o from_o the_o baltic_a sea_n the_o ten_o the_o eleven_o and_o the_o rest_n from_o other_o place_n which_o denomination_n although_o not_o necessary_a for_o the_o construction_n of_o a_o table_n yet_o they_o may_v be_v add_v unto_o our_o table_n in_o those_o areae_fw-la where_o we_o have_v place_v the_o number_n of_o the_o climate_n for_o so_o the_o climate_n will_v stick_v close_o in_o our_o memory_n as_o also_o the_o place_n in_o every_o climate_n and_o we_o may_v be_v able_a to_o make_v a_o better_a comparison_n between_o the_o difference_n of_o cold_a and_o heat_n but_o this_o be_v better_a to_o leave_v to_o the_o industry_n of_o the_o reader_n and_o to_o those_o that_o be_v studious_a than_o to_o add_v it_o to_o it_o that_o so_o we_o may_v afford_v they_o a_o great_a occasion_n of_o contemplate_v the_o terrestrial_a globe_n and_o by_o this_o mean_n may_v more_o easy_o commit_v they_o to_o memory_n climate_n where_o the_o ancient_n begin_v the_o climate_n you_o must_v also_o take_v notice_n that_o the_o ancient_n do_v not_o begin_v the_o numeration_n of_o the_o climate_n from_o the_o aequator_fw-la itself_o as_o our_o table_n do_v but_o from_o the_o place_n or_o parallel_n where_o the_o long_a day_n consist_v of_o 12¾_n hour_n and_o therefore_o their_o first_o climate_n be_v the_o second_o in_o our_o table_n their_o second_o our_o three_o and_o so_o on_o for_o they_o suppose_v those_o place_n which_o we_o ascribe_v to_o the_o first_o climate_n can_v not_o possible_o be_v inhabit_v by_o man_n by_o reason_n of_o the_o excessive_a heat_n of_o the_o sun_n latitude_n the_o first_o climate_n of_o 9_o degree_n of_o latitude_n that_o therefore_o they_o judge_v it_o not_o meet_v to_o reckon_v those_o place_n but_o see_v that_o experience_n have_v demonstrate_v the_o contrary_a we_o will_v observe_v their_o mode_n of_o name_v and_o constitute_v of_o those_o climate_n ptolemy_n begin_v the_o first_o climate_n from_o the_o parallel_n where_o the_o long_a day_n be_v 12¼_n hour_n or_o where_o the_o latitude_n or_o distance_n from_o the_o aequator_fw-la be_v four_o degree_n 15_o minute_n the_o matter_n be_v of_o no_o
place_n assume_v and_o make_v the_o beginning_n of_o a_o new_a summer_n which_o continue_v until_o the_o sun_n come_v to_o the_o five_o and_o twenty_o of_o libra_n for_o then_o again_o he_o obtain_v a_o middle_a distance_n and_o tend_v to_o the_o point_n of_o the_o great_a distance_n viz._n the_o first_o of_o capricorn_n therefore_o than_o he_o shall_v make_v the_o beginning_n of_o autumn_n and_o in_o the_o first_o of_o capricorn_n the_o beginning_n of_o winter_n so_o then_o we_o have_v show_v how_o such_o a_o place_n which_o lie_v between_o the_o aequator_fw-la and_o the_o eight_o degree_n of_o northern_a latitude_n in_o the_o torrid_a zone_n may_v have_v two_o summer_n two_o spring_n one_o autumn_n and_o one_o winter_n which_o by_o the_o same_o mode_n may_v be_v show_v concern_v the_o place_n lie_v between_o eight_o degree_n of_o latitude_n from_o the_o other_o side_n of_o the_o aequator_fw-la but_o in_o place_n situate_a eight_o degree_n beyond_o towards_o the_o tropic_n this_o 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tropic_a of_o caner_n but_o shall_v be_v continue_v in_o the_o whole_a course_n of_o the_o sun_n through_o taurus_n gemini_fw-la cancer_n leo_n virgo_fw-la and_o libra_n in_o the_o four_o and_o twenty_o degree_n of_o which_o viz._n about_o the_o fifteen_o of_o october_n it_o end_v but_o here_o seem_v to_o arise_v two_o new_a difficulty_n 1._o that_o these_o month_n must_v not_o be_v ascribe_v to_o summer_n because_o the_o sun_n do_v not_o recede_v by_o a_o direct_a course_n from_o the_o vertex_fw-la but_o first_o he_o accee_v to_o another_o distance_n again_o and_o again_o whilst_o he_o recee_v from_o the_o vertex_fw-la of_o the_o place_n to_o the_o tropic_a of_o cancer_n but_o the_o summer_n must_v be_v define_v only_o by_o the_o time_n of_o his_o recess_n or_o depart_a back_n but_o i_o answer_v to_o this_o that_o the_o summer_n ought_v to_o be_v define_v by_o a_o departure_n but_o not_o by_o a_o departure_n to_o every_o distance_n but_o by_o a_o recess_n to_o a_o moderate_a or_o middle_a distance_n neither_o by_o this_o be_v a_o mix_a access_n exclude_v from_o a_o recess_n so_o that_o the_o recess_n be_v not_o great_a than_o a_o middle_a distance_n 2._o for_o the_o place_n lie_v between_o the_o aequator_fw-la and_o the_o eight_o degree_n of_o latitude_n see_v that_o before_o the_o first_o degree_n of_o cancer_n or_o if_o the_o latitude_n be_v southern_o before_o the_o first_o of_o capricorn_n the_o sun_n acquire_v a_o moderate_a distance_n from_o those_o place_n where_o we_o say_v the_o end_n of_o the_o first_o summer_n be_v it_o appear_v not_o that_o we_o shall_v place_v the_o entrance_n of_o the_o spring_n because_o the_o sun_n be_v not_o direct_o move_v from_o that_o point_n again_o towards_o the_o place_n but_o first_o it_o more_o depart_v viz._n from_o the_o first_o of_o cancer_n and_o from_o thence_o it_o return_v to_o the_o place_n but_o we_o must_v know_v that_o the_o departure_n be_v so_o small_a that_o we_o ought_v little_o to_o regard_v the_o same_o because_o it_o scarce_o make_v one_o or_o another_o degree_n and_o that_o time_n of_o a_o great_a recess_n can_v be_v ascribe_v to_o another_o season_n except_o we_o will_v feign_v some_o new_a five_o and_o six_o season_n also_o it_o may_v otherwise_o seem_v concern_v these_o place_n to_o some_o one_o viz._n that_o a_o intermedial_a spring_n shall_v not_o be_v place_v between_o two_o summer_n but_o one_o continue_a summer_n and_o that_o time_n of_o a_o intermedial_a spring_n shall_v be_v attribute_v to_o this_o summer_n make_v no_o account_n of_o it_o that_o the_o sun_n be_v remove_v to_o a_o middle_a distance_n from_o the_o place_n see_v that_o he_o remain_v so_o near_o the_o place_n and_o so_o little_a recee_v beyond_o his_o middle_a distance_n that_o he_o can_v hardly_o diminish_v the_o heat_n of_o the_o air_n but_o by_o reason_n of_o his_o continuity_n rather_o augment_v at_o that_o time_n i_o shall_v contest_v with_o none_o about_o this_o but_o i_o think_v it_o more_o 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this_o work_n dassipodius_fw-la and_o wolkinstenius_fw-la describe_v yea_o better_o than_o in_o the_o true_a heaven_n because_o here_o the_o sun_n darkness_n they_o not_o by_o day_n nor_o the_o moon_n by_o night_n the_o instrument_n of_o these_o motion_n be_v hide_v in_o the_o body_n of_o a_o pelican_n which_o be_v portray_v under_o the_o globe_n the_o pole_n lift_v up_o to_o the_o elevation_n of_o strasburgh_n and_o note_v by_o a_o fair_a star_n make_v in_o brass_n the_o zenith_n be_v declare_v by_o a_o angel_n place_v in_o the_o midst_n of_o the_o meridian_n the_o second_o thing_n to_o be_v observe_v which_o be_v the_o first_o on_o the_o wall_n be_v two_o great_a circle_n one_o within_o another_o the_o one_o eight_o foot_n the_o other_o nine_o foot_n broad_a the_o uttermost_a move_v from_o the_o north_n to_o the_o south_n once_o in_o a_o year_n and_o have_v two_o angel_n the_o one_o on_o the_o north-side_n which_o point_v every_o day_n in_o the_o week_n the_o other_o on_o the_o 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a_o b_o c_o d_o the_o distance_n from_o the_o verticle_n b_o g_o be_v observe_v by_o a_o quadrant_n let_v at_o alexandria_n in_o the_o day_n of_o the_o solstice_n 21_o of_o june_n g_o f_o or_o g_o f_o be_v observe_v 1_o 50_o of_o the_o periphery_a or_o 7_o degree_n 12_o minute_n but_o in_o syene_n let_v there_o be_v no_o distance_n the_o sun_n hang_v perpendicular_o over_o their_o head_n therefore_o b_o g_z shall_v be_v the_o arch_n intercept_v between_o those_o two_o place_n and_o because_o the_o distance_n put_v be_v 5000_o stadiums_n therefore_o according_a to_o the_o golden_a rule_n it_o shall_v be_v as_o 7_o degree_n 12_o part_n to_o one_o degree_n or_o as_o 1_o 50_o to_o 1_o 360_o or_o as_o 5_o to_o 36_o so_o 5000_o to_o 694_o 4_o 9_o stadiums_n which_o be_v requisite_a for_o one_o degree_n or_o as_o 1_o 50_o be_v to_o 50_o or_o as_o 1_o to_o 50_o so_o 5000_o to_o 250000_o stadiums_n of_o the_o whole_a periphery_n a_o b_o c_o d_o according_a to_o this_o measure_n yet_o see_v 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degree_n 12_o first_o minute_n or_o 1_o 50_o of_o the_o periphery_a the_o other_o thing_n be_v perform_v as_o it_o have_v be_v say_v the_o three_o manner_n of_o posidonius_n earth_n posidonius_n manner_n use_v about_o the_o magnitude_n etc._n etc._n of_o the_o earth_n let_v two_o place_n b_o g_z be_v under_o the_o same_o meridian_n posidonius_n take_v b_o rhodes_n and_o g_o the_o city_n alexandria_n in_o egypt_n let_v the_o altitude_n of_o some_o star_n in_o these_o two_o place_n when_o it_o come_v into_o the_o meridian_n above_o the_o horizon_n and_o that_o in_o the_o same_o day_n or_o in_o divers_a day_n which_o matter_n not_o at_o all_o posidonius_n take_v the_o shine_a star_n canobus_n which_o be_v of_o the_o first_o magnitude_n in_o argonavi_n scheme_n see_v scheme_n but_o this_o star_n do_v not_o rise_v above_o the_o horizon_n of_o rhodes_n h_o h_n s_n but_o do_v only_o touch_v the_o horizon_n in_o s_n yet_o it_o be_v elevate_v above_o the_o horizon_n of_o alexandria_n f_o r_o t_o in_o the_o arch_n t_o s_o 1_o 48_o part_n of_o the_o whole_a periphery_n or_o 7_o degree_n 30_o minute_n therefore_o the_o distance_n of_o the_o arch_n t_o s_o that_o be_v b_o g_o shall_v be_v 7_o degree_n 30_o minute_n unto_o 1_o degree_n or_o as_o 1_o 48_o part_n unto_o 1_o 360_o that_o be_v as_o 1_o to_o 48_o so_o 5000_o to_o 240000_o stadiums_n of_o the_o whole_a perimeter_n of_o the_o earth_n according_a to_o these_o hypothesis_n of_o posidonius_n the_o four_o manner_n or_o way_n of_o snellius_n earth_n snellius_n way_n about_o the_o dimension_n and_o magnitude_n of_o the_o earth_n because_o in_o the_o former_a way_n we_o have_v take_v two_o place_n b_o g_z lying_z under_o the_o same_o meridian_n and_o yet_o the_o place_n fit_a for_o this_o business_n may_v lie_v under_o divers_a meridian_n therefore_o we_o think_v it_o requisite_a that_o a_o example_n and_o that_o of_o snellius_n shall_v be_v also_o concern_v this_o case_n here_o propose_v let_v therefore_o a_o b_o c_o d_o be_v the_o meridian_n of_o alcmaria_n b_o alcmaria_n itself_o the_o elevation_n of_o the_o pole_n h_o a_o 52_o degree_n 40_o ½_n minute_n the_o distance_n from_o the_o pole_n b_o a_o 37_o degree_n 19_o minute_n 30_o second_n scheme_n see_v scheme_n let_v the_o other_o place_n be_v p_o bergenapsome_n the_o meridian_n a_o p_o v_o v_o the_o distance_n from_o the_o pole_n that_o be_v the_o compliment_n of_o the_o elevation_n 51_o degree_n 29_o minute_n a_o p_o be_v 38_o degree_n 31_o minute_n therefore_o p_o g_o a_o perpendicular_a line_n be_v draw_v to_o a_o b_o g_o the_o difference_n of_o the_o distance_n from_o the_o pole_n be_v b_o g_o 71_o minute_n 30_o second_n or_o 1_o degree_n 11_o minute_n 30_o second_n moreover_o snellius_n by_o a_o laborious_a geodesie_n or_o earth-meeting_n find_v the_o distance_n of_o alcmaria_n from_o bergen_n b_o p_o to_o be_v 34710_o rhindlandish_a perch_n and_o the_o angle_n of_o position_n p_o b_o g_o to_o be_v 11_o degree_n 26_o minute_n 2_o second_n therefore_o in_o the_o triangle_n straight_o angle_v p_o b_o g_o the_o hypotenuse_n b_o p_o and_o the_o angle_n b_o p_o g_o be_v give_v therefore_o by_o the_o problem_n of_o the_o second_o chapter_n b_o g_z be_v find_v 34018_o for_o which_o snellius_n take_v 33930_o for_o he_o detract_v 88_o perch_n from_o the_o station_n of_o the_o elevation_n of_o the_o pole_n but_o the_o arch_n b_o g_o 71_o ½_n scruple_n be_v the_o difference_n of_o the_o elevation_n of_o the_o pole_n therefore_o as_o 71_o ½_n minute_n be_v to_o 1_o degree_n or_o 60_o minute_n so_o be_v 33930_o or_o 34018_o to_o 28473_o perch_n for_o one_o degree_n or_o according_a to_o the_o round_a number_n 28500_o or_o 19_o holland_n mile_n they_o which_o understand_v spherical_a trigonometry_n from_o the_o give_v a_o b_o a_o p_o the_o angle_n a_o b_o p_o may_v find_v the_o arch_n b_o p_o to_n be_v 1_o degree_n 14_o minute_n which_o when_o they_o be_v equal_a with_o 34710_o perch_n 1_o degree_n shall_v be_v equal_a to_o the_o perch_n or_o of_o 18_o mile_n and_o ⅘_n but_o the_o cause_n that_o this_o number_n differ_v from_o that_o of_o snellius_n be_v first_o that_o snellius_n do_v not_o take_v the_o very_a point_n of_o the_o tower_n b_o p_o by_o which_o he_o obtain_v the_o angle_n g_o b_o p_o for_o the_o know_v the_o elevation_n of_o the_o pole_n but_o he_o take_v the_o place_n a_o little_a distant_a from_o they_o 197._o see_v snellius_n in_o page_n 197._o notwithstanding_o no_o man_n can_v doubt_v but_o the_o same_o may_v be_v find_v to_o be_v the_o altitude_n of_o the_o pole_n the_o other_o cause_n be_v that_o he_o take_v the_o line_n b_o g_z b_o p_o p_o g_o as_o straight_o which_o nevertheless_o be_v not_o straight_o although_o this_o discord_n may_v seem_v to_o make_v little_a or_o no_o difference_n of_o any_o moment_n but_o let_v snellius_n his_o quantity_n of_o a_o degree_n of_o 28500_o perch_n be_v take_v mine_n of_o 28300_o perch_n his_o make_v 19_o 147_o 150_o mile_n mine_n 18_o ⅘_n mile_n the_o perimeter_n or_o circuit_n according_a to_o snellius_n shall_v be_v 10260000_o perch_n 123120000_o foot_n or_o 8640_o holland_n mile_n the_o five_o manner_n be_v the_o first_o terrestrial_a way_n of_o measure_v the_o earth_n earth_n the_o first_o terrestrial_a way_n for_o the_o find_v out_o the_o magnitude_n etc._n etc._n of_o the_o earth_n the_o three_o follow_a manner_n or_o way_n be_v terrestrial_a perform_v the_o work_n without_o the_o heaven_n or_o meridian_n line_n let_v b_o p_o be_v the_o altitude_n of_o the_o tower_n this_o be_v to_o be_v seek_v out_o in_o a_o land-measuring_a way_n then_o let_v p_o s_o be_v the_o distance_n of_o the_o most_o remote_a term_n from_o whence_o the_o tower_n may_v be_v see_v and_o although_o p_o be_v be_v not_o a_o strait_a line_n yet_o because_o it_o be_v the_o least_o part_n of_o the_o periphery_a of_o the_o whole_a earth_n therefore_o it_o be_v take_v for_o a_o strait_a line_n and_o the_o triangle_n straight_o angle_v b_o p_o s_o in_o which_o by_o the_o give_v b_o p_o p_o s_o the_o angle_n b_o s_o p_o be_v find_v to_o who_o b_o r_z s_z be_v equal_a who_o measure_n be_v the_o arch_n s_o p._n therefore_o as_o this_o arch_n be_v to_o one_o degree_n so_o p_o s_o the_o find_v distance_n scheme_n see_v scheme_n be_v to_o the_o quantity_n of_o one_o degree_n as_o for_o example_n let_v b_o p_o the_o altitude_n be_v 480_o pace_n and_o let_v the_o distance_n p_o s_z of_o the_o point_n s_o which_o end_v the_o sight_n be_v 40000_o pace_n or_o 10_o german_a mile_n therefore_o let_v it_o be_v wrought_v according_a to_o the_o problem_n of_o the_o second_o chapter_n as_o
stay_n of_o the_o sun_n or_o shall_v we_o say_v that_o a_o thick_a exhalation_n consist_v in_o the_o morning_n time_n in_o that_o zone_n after_o that_o long_a absence_n three_o if_o that_o you_o be_v not_o please_v to_o admit_v that_o double_a refraction_n neither_o be_v you_o willing_a to_o grant_v that_o the_o supreme_a part_n of_o the_o air_n in_o the_o torrid_a and_o frigid_a zone_n make_v any_o refraction_n i_o say_v if_o that_o the_o two_o premise_a response_n or_o explication_n please_v not_o than_o you_o must_v confess_v that_o the_o air_n in_o that_o place_n of_o the_o torrid_a zone_n at_o that_o time_n be_v much_o high_a than_o in_o our_o temperate_a zone_n and_o likewise_o more_o thick_a â—or_a only_o the_o altitude_n diminish_v the_o refraction_n but_o if_o that_o there_o be_v a_o great_a thickness_n refraction_n be_v much_o more_o augment_v by_o this_o than_o it_o be_v diminish_v by_o the_o altitude_n decrease_v but_o i_o be_o most_o take_v with_o the_o first_o of_o these_o three_o cause_n which_o make_v the_o altitude_n of_o the_o air_n two_o mile_n for_o we_o may_v not_o in_o the_o horizontal_n refraction_n of_o 4_o degree_n 30_o minute_n make_v a_o less_o in_o nova_n zembla_n the_o other_o two_o be_v perplex_v with_o many_o difficulty_n now_o why_o they_o behold_v not_o the_o sun_n for_o so_o many_o day_n the_o same_o altitude_n remain_v after_o he_o cease_v to_o rise_v the_o three_o day_n of_o november_n i_o say_v that_o the_o cause_n be_v the_o thickness_n of_o the_o air._n the_o same_o answer_n must_v also_o be_v give_v why_o the_o same_o dutch_a mariner_n in_o the_o year_n 1596_o on_o the_o 30_o of_o may_n behold_v not_o the_o sun_n at_o midnight_n under_o the_o elevation_n of_o 69_o deg_fw-la 24_o minute_n when_o that_o yet_o it_o be_v not_o under_o the_o horizon_n 1_o degree_n why_o here_o it_o make_v no_o refraction_n the_o cause_n may_v be_v the_o same_o but_o we_o have_v be_v too_o large_a concern_v this_o matter_n which_o prolixity_n the_o reader_n must_v ascribe_v to_o the_o difficulty_n of_o the_o doctrine_n for_o to_o accurate_a knowledge_n of_o this_o matter_n most_o accurate_a observation_n be_v require_v neither_o yet_o may_v we_o if_o that_o the_o observation_n make_v at_o divers_a elevation_n of_o the_o same_o star_n on_o one_o place_n make_v not_o the_o same_o altitude_n assert_v that_o therefore_o the_o altitude_n of_o it_o be_v diverse_a for_o the_o cause_n may_v be_v the_o diversity_n of_o the_o rarity_n of_o the_o air_n viz._n by_o how_o much_o it_o be_v nigh_a the_o horizon_n by_o so_o much_o it_o be_v less_o rare_a if_o that_o this_o be_v so_o the_o observation_n will_v in_o no_o wise_n produce_v the_o same_o altitude_n although_o it_o be_v the_o same_o because_o that_o we_o suppose_v in_o the_o calculation_n that_o the_o same_o rarity_n of_o the_o air_n be_v in_o both_o part_n of_o the_o air_n and_o therefore_o the_o same_o rule_n of_o refraction_n proposition_n xxxi_o the_o depression_n of_o the_o star_n beneath_o the_o horizon_n be_v give_v when_o that_o it_o first_o begin_v to_o appear_v that_o be_v the_o horizontal_n refraction_n of_o the_o star_n be_v give_v to_o find_v out_o the_o least_o altitude_n of_o that_o air_n as_o may_v be_v the_o thickness_n of_o that_o air_n for_o such_o be_v fraction_n and_o the_o great_a excess_n of_o density_n as_o may_v be_v of_o that_o air_n above_o the_o density_n of_o the_o aether_n that_o be_v the_o great_a rule_n that_o can_v be_v of_o refraction_n also_o more_o general_o the_o refraction_n of_o a_o star_n be_v give_v unto_o the_o give_v apparent_a altitude_n of_o it_o above_o the_o horizon_n to_o find_v the_o great_a altitude_n that_o may_v be_v horizon_n of_o the_o depression_n of_o the_o star_n beneath_o the_o horizon_n so_o let_v the_o give_v horizontal_n refraction_n n_o f_o l_o or_o the_o depression_n of_o the_o star_n beneath_o the_o horizon_n g_o f_o s_o or_o g_o l_o s_o when_o that_o it_o first_o begin_v to_o appear_v such_o as_o it_o be_v in_o nova_n zembla_n 4_o deg_fw-la 30_o min._n it_o be_v manifest_a therefore_o from_o the_o optic_n that_o if_o the_o radius_fw-la s_o f_o touch_v the_o air_n in_o f_z that_o be_v if_o that_o the_o angle_n n_o f_o t_o be_v straight_o scheme_n see_v scheme_n then_o indeed_o that_o ray_n be_v not_o refract_v but_o if_o that_o no_o star_n be_v beneath_o the_o tangent_fw-la i_o n_z than_o no_o ray_n can_v immediate_o come_v near_o to_o f._n therefore_o it_o be_v require_v that_o the_o star_n shall_v be_v about_o the_o tangent_fw-la and_o the_o angle_n n_z f_o t_o shall_v be_v lesser_a than_o the_o right_a angle_n or_o than_o 90._o let_v it_o therefore_o be_v suppose_v that_o 89_o deg_fw-la 59_o min._n or_o 90_o degree_n although_o very_o great_a yet_o not_o great_a than_o 90._o moreover_o let_v n_o f_o t_o the_o angle_n give_v or_o the_o horizontal_n refraction_n 4_o deg_fw-la 30_o min._n the_o angle_n t_o f_o l_o 85_o deg_fw-la 29_o min._n be_v leave_v the_o great_a which_o may_v be_v whence_o if_o that_o it_o come_v to_o pass_v that_o as_o the_o sign_n t_o f_o l_o be_v to_o the_o sign_n f_o l_o t_o so_o be_v l_o t_o to_n t_o f_o and_o the_o find_v out_o t_o f_o shall_v be_v the_o least_o altitude_n of_o the_o air_n that_o may_v be_v the_o four_o proportional_a t_n f_o shall_v be_v the_o least_o that_o may_v be_v if_o so_o be_v that_o the_o middle_a bound_n or_o term_n viz._n the_o whole_a sign_n t_o l_o f_o and_o t_o l_o remain_v the_o same_o if_o that_o the_o refraction_n t_o f_o be_v not_o give_v to_o the_o apparent_a horizontal_n ray_n but_o to_o the_o altitude_n of_o the_o star_n x_o l_o g._n we_o shall_v act_v after_o the_o same_o mode_n in_o â–³_o t_o l_o r_o t._n also_o the_o reason_n of_o the_o sign_n of_o the_o angle_n n_z f_o l_o 89_o deg_fw-la 59_o min_fw-mi to_o the_o sign_n t_o f_o l_o 85_o deg_fw-la 29_o min._n shall_v be_v the_o great_a reason_n which_o may_v be_v of_o the_o density_n of_o the_o air_n to_o the_o density_n of_o the_o aether_n proposition_n xxxii_o the_o altitude_n of_o the_o air_n and_o one_o refraction_n of_o a_o star_n in_o it_o be_v give_v to_o a_o certain_a altitude_n of_o it_o to_o find_v out_o from_o it_o the_o rule_n of_o refraction_n or_o proportion_n of_o the_o sign_n of_o the_o angle_n of_o incidency_n to_o the_o angle_n refract_v or_o to_o the_o thickness_n of_o that_o air_n for_o the_o give_v refraction_n at_o the_o give_v altitude_n now_o the_o give_v altitude_n of_o the_o air_n ought_v to_o be_v great_a than_o that_o which_o according_a to_o the_o precedent_a proposition_n be_v find_v to_o be_v the_o least_o scheme_n see_v scheme_n for_o if_o that_o it_o be_v not_o great_a it_o be_v a_o sign_n that_o the_o refraction_n be_v not_o observe_v and_o that_o the_o problem_n be_v impossible_a let_v therefore_o the_o t_o r_o given_z be_v great_a for_o example_n let_v x_o l_o g_o act_n the_o apparent_a altitude_n let_v the_o know_a refraction_n be_v m_o r_o l_o therefore_o in_o the_o triangle_n t_o l_o r_o be_v give_v t_o r_o t_o l_o and_o the_o angle_n t_o l_o r._n from_o these_o be_v find_v out_o t_o r_o f_o the_o refracted_a angle_n unto_o which_o if_o that_o you_o add_v m_z l_o you_o have_v the_o angle_n of_o incidency_n m_o r_o t_o and_o the_o reason_n or_o account_v of_o the_o sign_n m_o r_o t_o to_o the_o sign_n l_o r_o t_o shall_v be_v find_v this_o shall_v be_v the_o rule_n of_o refraction_n in_o this_o air_n or_o the_o reason_n of_o the_o thickness_n of_o it_o to_o the_o density_n of_o the_o air._n proposition_n xxxiii_o the_o altitude_n of_o the_o air_n and_o refraction_n be_v give_v to_o the_o one_o altitude_n of_o a_o star_n to_o find_v out_o the_o refraction_n in_o another_o altitude_n of_o a_o star_n scheme_n see_v scheme_n for_o example_n let_v the_o altitude_n of_o the_o air_n t_o f_o or_o t_o r_o and_o the_o refraction_n n_o f_o l_o at_o the_o apparent_a altitude_n o_o be_v give_v viz._n the_o horizontal_n ray_n f_o l_o be_v that_o refract_v then_o let_v the_o altitude_n of_o the_o apparent_a altitude_n of_o the_o star_n r_o l_o g_o or_o x_o l_o g_o be_v give_v let_v the_o rule_n of_o refraction_n or_o the_o reason_n of_o the_o sign_n n_z f_o t_n t_o f_o l_o or_o the_o sign_n n_z f_o t_n t_o f_o l_o be_v find_v by_o the_o precedent_a proposition_n then_o on_o the_o triangle_n t_o r_o l_o from_o the_o note_n t_o r_o t_o l_o and_o on_o the_o angle_n r_o l_o t_o let_v the_o angle_n t_o r_o l_o be_v find_v and_o as_o the_o sign_n t_o f_o l_o be_v to_o the_o sign_n t_o f_o n_z so_o be_v t_o r_o l_o to_o the_o other_o
sea_n and_o the_o like_a be_v in_o guzurat_n but_o for_o very_a many_o month_n when_o it_o begin_v to_o blow_v in_o congo_n and_o guzurat_n in_o september_n it_o continue_v even_o to_o march_n the_o anniversary_n wind_n of_o the_o grecian_n which_o they_o call_v ornithia_n or_o the_o bridge_n wind_n this_o they_o say_v blow_v after_o the_o vernal_a aequinox_n the_o sun_n ascend_v to_o the_o vertex_fw-la of_o the_o european_n proposition_n v._o why_o the_o etesian_a wind_n blow_v not_o in_o italy_n france_n germany_n persia_n and_o other_o region_n especial_o see_v that_o they_o be_v more_o near_o the_o northern_a mountain_n from_o whence_o we_o assert_v the_o etesian_a wind_n of_o the_o grecian_n congo_n and_o guzurat_n do_v arise_v and_o blow_v mountain_n the_o etesian_a wind_n blow_v not_o in_o all_o region_n though_o near_o the_o northern_a mountain_n the_o question_n be_v of_o no_o small_a moment_n and_o i_o wish_v that_o we_o have_v more_o accurate_a observation_n concern_v this_o matter_n viz._n the_o notation_n of_o the_o wind_n which_o at_o that_o time_n be_v observe_v in_o each_o region_n whether_o in_o every_o year_n the_o same_o never_o return_v yet_o if_o that_o any_o thing_n must_v be_v say_v to_o the_o question_n these_o seem_v convenient_a 1._o we_o can_v deny_v but_o that_o the_o north_n wind_n often_o blow_v in_o our_o canicular_a or_o dog_n day_n 2._o that_o it_o be_v discover_v less_o continual_a and_o in_o each_o year_n peradventure_o the_o cause_n be_v the_o often_o blow_v of_o other_o wind_n which_o hinder_v the_o discovery_n of_o the_o same_o 3._o we_o may_v say_v that_o the_o mountain_n from_o which_o this_o first_o resolution_n of_o the_o snow_n begin_v be_v situate_v direct_o from_o greece_n and_o therefore_o the_o first_o canicular_a wind_n be_v carry_v hither_o but_o the_o vapour_n be_v carry_v hither_o from_o the_o snow_n of_o the_o other_o mountain_n because_o that_o here_o they_o find_v a_o free_a passage_n make_v but_o i_o shall_v reject_v these_o my_o extemporay_a thought_n when_o that_o i_o shall_v see_v a_o better_a reason_n and_o more_o accurate_a observation_n proposition_n vi_o some_o wind_n be_v proper_a and_o almost_o perpetual_a to_o some_o place_n or_o tract_n of_o land_n other_o be_v cease_v time_n place_n which_o have_v a_o certain_a wind_n at_o a_o fix_a time_n those_o place_n of_o the_o earth_n be_v very_o few_o which_o have_v a_o certain_a wind_n at_o a_o fix_a time_n viz._n these_o 1._o the_o place_n of_o the_o torrid_a zone_n especial_o of_o part_n of_o the_o pacifick_n and_o aethiopick_n sea_n situate_a in_o the_o zone_n enjoy_v a_o perpetual_a wind_n viz._n a_o oriental_a wind_n or_o its_o collateral_a which_o they_o call_v a_o general_n wind_n as_o we_o have_v show_v in_o the_o second_o proposition_n where_o we_o have_v treat_v large_o of_o it_o yea_o this_o wind_n be_v not_o so_o much_o to_o be_v reckon_v among_o the_o proper_a wind_n but_o rather_o to_o be_v determine_v to_o be_v common_a to_o all_o place_n for_o although_o by_o accident_n it_o happen_v that_o it_o be_v not_o discern_v in_o all_o place_n viz._n because_o other_o wind_n blow_v more_o strong_a yet_o it_o be_v proper_a to_o some_o the_o cause_n be_v allege_v in_o the_o place_n cite_v 2._o on_o the_o coast_n of_o peru_n and_o part_n of_o chili_n and_o to_o the_o adjacent_a sea_n the_o south_n wind_n be_v almost_o perpetual_a and_o his_o collateral_a wind_n at_o the_o west_n it_o begin_v at_o the_o 46_o deg_fw-la of_o latitude_n and_o blow_v to_o panama_n the_o american_n isthmus_n and_o cause_v that_o in_o few_o day_n ship_n arrive_v from_o lima_n at_o panama_n lade_v with_o gold_n silver_n etc._n etc._n but_o it_o require_v many_o day_n sail_n from_o panama_n to_o lima._n but_o this_o wind_n blow_v not_o in_o the_o sea_n remote_a from_o the_o coast_n of_o peru_n it_o be_v difficult_a to_o render_v the_o cause_n of_o this_o wind_n by_o reason_n that_o the_o south_n land_n from_o whence_o it_o seem_v to_o blow_v be_v not_o yet_o know_v unto_o we_o yet_o i_o think_v it_o probable_a that_o because_o that_o mountain_n be_v find_v in_o it_o cover_v with_o perpetual_a snow_n therefore_o the_o wind_n be_v generate_v from_o a_o continual_a resolution_n of_o they_o but_o i_o will_v not_o infect_v the_o mind_n of_o the_o reader_n with_o these_o my_o suspicion_n or_o conjecture_n for_o peradventure_o the_o snow_n which_o be_v find_v all_o the_o year_n long_o in_o the_o high_a mountain_n at_o the_o strait_n of_o magellan_n be_v the_o cause_n of_o these_o wind_n but_o yet_o it_o may_v be_v object_v that_o those_o mountain_n lie_v from_o the_o south_n towards_o the_o west_n decline_v from_o the_o south_n wherefore_o we_o shall_v leave_v this_o to_o a_o more_o diligent_a inquisition_n or_o a_o more_o full_a knowledge_n of_o the_o south_n continent_n 3._o at_o the_o coast_n of_o the_o land_n of_o magellan_n or_o del_n fugo_n about_o the_o straight_a le_fw-fr mair_n continual_a or_o at_o least_o very_a frequent_a western_o wind_n do_v blow_n and_o that_o with_o that_o force_n that_o they_o make_v the_o tree_n to_o bend_v towards_o the_o east_n from_o their_o perpendicular_a rectitude_n neither_o be_v there_o any_o part_n of_o the_o earth_n in_o which_o those_o occidental_a wind_n so_o often_o blow_v but_o on_o the_o other_o part_n of_o the_o strait_n le_fw-fr mair_n at_o the_o coast_n of_o the_o south_n land_n the_o south_n wind_n blow_v i_o can_v render_v no_o other_o cause_n of_o those_o occidental_a wind_n but_o that_o i_o suppose_v they_o to_o be_v raise_v from_o snow_n and_o cloud_n in_o the_o south_n continent_n which_o extend_v itself_o from_o the_o side_n of_o that_o occidental_a streight_n from_o the_o south_n towards_o the_o north._n but_o these_o be_v doubtful_a and_o more_o diligent_o to_o be_v inquire_v after_o 4._o on_o the_o malabarian_a coast_n of_o india_n for_o almost_o the_o whole_a year_n the_o north_n and_o north-east_n wind_n blow_v the_o cause_n proceed_v from_o the_o resolution_n of_o the_o snow_n of_o the_o mountain_n of_o the_o asiatic_a sarmatia_n viz._n imaus_n or_o caucasus_n from_o the_o cloud_n on_o the_o other_o mountain_n of_o asia_n which_o be_v collect_v and_o press_v the_o subject_n air._n 5._o in_o the_o sea_n near_o to_o guinea_n the_o north_n west_n wind_n be_v frequent_a and_o in_o the_o remote_a sea_n the_o north_n east_n 6._o in_o the_o middle_a passage_n between_o japan_n and_o liampo_n a_o maritimate_a city_n of_o china_n even_o unto_o these_o be_v find_v occidental_a wind_n which_o blow_n in_o japan_n in_o november_n and_o december_n 7._o at_o the_o isle_n guotou_n not_o far_o from_o the_o isle_n do_v cavallos_n in_o the_o sea_n of_o china_n be_v a_o frequent_a south_n wind_n when_o that_o yet_o in_o the_o neighbour_a ocean_n a_o north_n wind_n be_v predominate_v proposition_n vii_o unto_o these_o periodical_a or_o state_a wind_n appertain_v those_o also_o that_o be_v term_v day_n wind_n which_o in_o some_o region_n and_o at_o a_o certain_a time_n of_o the_o year_n blow_v for_o some_o hour_n every_o day_n call_v of_o day_n wind_n so_o call_v now_o they_o be_v find_v to_o be_v twofold_a and_o that_o only_a in_o some_o maritimate_a place_n for_o some_o blow_n from_o mediterranean_a place_n to_o the_o shore_n towards_o the_o sea_n and_o other_o on_o the_o contrary_a from_o the_o sea_n to_o the_o shore_n 1._o on_o the_o malabarian_a coast_n in_o the_o summer_n season_n viz._n from_o september_n to_o april_n the_o terrestrial_a wind_n or_o terrinhos_n do_v blow_n from_o the_o twelve_o hour_n of_o the_o night_n to_o the_o twelve_o hour_n of_o the_o day_n now_o these_o wind_n be_v eastern_a wind_n but_o from_o the_o twelve_o hour_n of_o the_o day_n to_o the_o twelve_o hour_n of_o the_o night_n the_o sea_n wind_n or_o viraconus_n to_o wit_n the_o west_n wind_n blow_v but_o this_o be_v very_o weak_a so_o that_o by_o its_o assistance_n the_o ship_n can_v hardly_o arrive_v at_o the_o shoar_n i_o suppose_v the_o cause_n of_o those_o oriental_a wind_n from_o twelve_o at_o night_n to_o twelve_o in_o the_o day_n partly_o to_o be_v a_o general_a wind_n and_o partly_o cloud_n on_o the_o mountain_n gatis_n but_o the_o cause_n of_o the_o occidental_a wind_n that_o blow_n from_o twelve_o in_o the_o day_n to_o twelve_o at_o night_n be_v the_o resolution_n of_o thick_a cloud_n cause_v by_o the_o set_n of_o the_o sun_n which_o cloud_n before_o by_o the_o oriental_a wind_n be_v force_v towards_o the_o west_n out_o of_o those_o name_v month_n the_o north_n wind_n predominate_v also_o the_o east_n and_o north-east_n neither_o by_o reason_n of_o the_o often_o tempest_n be_v these_o terrestrial_a and_o marine_a wind_n discern_v 2._o in_o musulipatan_n a_o city_n on_o the_o coast_n of_o charomandel_n these_o terrinhos_n begin_v to_o blow_v
sun_n theorem_fw-la the_o meridian_n of_o every_o place_n pass_v through_o both_o the_o pole_n of_o the_o earth_n the_o meridian_n be_v draw_v through_o every_o ten_o degree_n of_o the_o aequator_fw-la which_o be_v the_o meridian_n of_o all_o those_o place_n through_o which_o they_o pass_v but_o instead_o of_o the_o meridian_n of_o all_o other_o place_n that_o do_v supply_v the_o place_n which_o be_v make_v of_o brass_n and_o in_o which_o the_o globe_n do_v hang._n for_o instance_n if_o that_o any_o place_n in_o the_o superficies_n of_o the_o globe_n be_v bring_v unto_o the_o brazen_a meridian_n that_o shall_v be_v the_o meridian_n of_o the_o place_n in_o map_n of_o straight_a line_n the_o meridian_n be_v straight_o line_n draw_v from_o the_o top_n or_o uppermost_a part_n unto_o the_o bottom_n in_o map_n of_o crooked_a line_n they_o be_v those_o crooked_a line_n which_o join_v in_o the_o pole_n norizou_n the_o norizou_n sight_o the_o horizon_n of_o any_o place_n in_o the_o 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unto_o every_o hour_n fifteen_o and_o therefore_o one_o hour_n and_o fifteen_o degree_n of_o the_o aequator_fw-la make_v a_o equal_a proportion_n the_o horary_a circle_n show_v the_o hour_n which_o circle_n be_v affix_v unto_o the_o artificial_a globe_n be_v see_v in_o the_o brazen_a meridian_n where_o the_o pin_n or_o hand_n adher_v to_o the_o extremity_n of_o the_o axis_n of_o the_o earth_n and_o it_o be_v turn_v about_o in_o the_o horary_a circle_n to_o show_v the_o hour_n sun_n the_o second_o motion_n of_o the_o sun_n second_o the_o proper_a and_o second_o motion_n of_o the_o sun_n which_o be_v also_o annual_a be_v that_o in_o which_o the_o sun_n or_o rather_o the_o earth_n be_v move_v from_o west_n to_o east_n or_o contrary_a to_o its_o first_o motion_n the_o time_n or_o number_n of_o the_o day_n in_o which_o the_o sun_n return_v unto_o the_o same_o point_n from_o whence_o it_o depart_v or_o in_o which_o it_o perform_v its_o whole_a period_n or_o circle_n be_v term_v a_o year_n now_o such_o a_o year_n be_v 361_o day_n and_o one_o four_o part_n of_o a_o day_n or_o thereabouts_o the_o way_n of_o this_o second_o solary_a motion_n be_v term_v the_o ecliptic_a as_o we_o have_v say_v before_o which_o be_v divide_v into_o twelve_o part_n which_o be_v call_v sign_n for_o astronomer_n have_v observe_v these_o constellation_n of_o the_o heaven_n through_o which_o this_o way_n of_o the_o sun_n do_v lie_v and_o from_o these_o constellation_n denominate_v the_o twelve_o part_n of_o the_o ecliptic_a and_o because_o that_o all_o constellation_n represent_v the_o form_n of_o animal_n therefore_o the_o ancient_n term_v that_o way_n or_o ecliptic_a weaven_n the_o zodiac_n zone_n or_o girdle_n in_o the_o weaven_n the_o zodiac_n yet_o those_o which_o speak_v more_o distinct_o call_v the_o zodiac_n a_o zone_n or_o girdle_n in_o the_o heaven_n who_o middle_a be_v the_o very_a ecliptic_a itself_o or_o path_n of_o the_o sun_n but_o the_o extreme_a part_n from_o both_o side_n of_o the_o ecliptic_a be_v distant_a from_o it_o eight_o degree_n by_o reason_n that_o the_o rest_n of_o the_o planet_n have_v a_o certain_a peculiar_a motion_n from_o east_n to_o west_n in_o which_o motion_n they_o do_v not_o describe_v the_o ecliptic_a itself_o but_o path_n decline_v somewhat_o from_o the_o ecliptic_a which_o declination_n by_o reason_n that_o it_o exceed_v not_o 8_o degree_n therefore_o they_o do_v attribute_v 16_o degree_n of_o latitude_n unto_o the_o zodiac_n viz._n eight_o from_o both_o part_n of_o the_o ecliptic_a so_o that_o the_o zodiac_n be_v that_o space_n of_o the_o heaven_n in_o which_o the_o planet_n be_v always_o move_v neither_o do_v they_o ever_o move_v out_o of_o it_o and_o the_o ecliptic_a be_v the_o middle_a line_n of_o the_o zodiac_n which_o the_o sun_n pass_v through_o by_o a_o annual_a motion_n in_o which_o it_o always_o keep_v its_o fix_a course_n moreover_o the_o sign_n or_o constellation_n of_o the_o heaven_n through_o which_o the_o ecliptic_a and_o the_o zodiac_n pass_v be_v these_o march_v 21._o  _fw-fr  _fw-fr zodiac_n the_o sign_n of_o the_o zodiac_n ♈_o ♉_o ♊_o aries_n taurus_n gemini_fw-la june_n 21._o  _fw-fr  _fw-fr ♋_o ♌_o â™_o cancer_n leo_n virgo_fw-la september_n 21._o  _fw-fr  _fw-fr ♎_o â™_o â™_o libra_n scorpius_n sagitarius_n december_n 21._o  _fw-fr  _fw-fr ♑_o â™’_o ♓_o capricorn_n aquarius_n pisces_fw-la moreover_o the_o ecliptic_a oblique_o cut_v the_o aequator_fw-la ecliptic_a ecliptic_a so_o that_o its_o great_a distance_n be_v twenty_o three_o degree_n and_o about_o thirty_o minute_n where_o therefore_o the_o ecliptic_a cut_v the_o aequator_fw-la which_o he_o do_v in_o two_o point_n in_o one_o of_o these_o be_v place_v the_o beginning_n of_o the_o ecliptic_a and_o also_o the_o beginning_n of_o the_o account_v of_o the_o sigus_fw-la in_o those_o point_v the_o sun_n then_o be_v in_o cause_v the_o equality_n of_o the_o day_n and_o night_n in_o all_o place_n as_o also_o the_o beginning_n of_o the_o vernal_a and_o autumnal_a quarter_n we_o begin_v to_o number_v from_o that_o point_n in_o which_o the_o sun_n make_v the_o beginning_n of_o the_o spring_n to_o we_o that_o be_v we_o be_v situate_a from_o the_o aequator_fw-la towards_o the_o pole_n arctic_a the_o first_o sign_n or_o first_o twelve_o part_n of_o the_o ecliptic_a be_v term_v aries_n the_o second_o taurus_n the_o three_o gemini_fw-la and_o so_o forth_o as_o aforesaid_a because_o about_o twenty_o age_n past_a those_o sign_n of_o the_o heaven_n be_v in_o these_o very_a part_n of_o the_o ecliptic_a every_o one_o of_o these_o twelve_o sign_n be_v divide_v into_o thirty_o degree_n for_o the_o whole_a ecliptic_a have_v three_o hundred_o and_o sixty_o degree_n which_o be_v divide_v by_o 12_o make_v 30._o moreover_o see_v that_o the_o sun_n pass_v over_o the_o whole_a ecliptic_a that_o be_v 360_o degree_n in_o 365_o day_n and_o one_o four_o part_n of_o a_o day_n hence_o we_o collect_v that_o in_o every_o day_n he_o pass_v 59_o minute_n and_o 8_o second_o which_o be_v something_o less_o than_o a_o degree_n sun_n the_o motion_n of_o the_o sun_n now_o as_o the_o sun_n in_o a_o year_n time_n or_o 12_o month_n run_v over_o the_o whole_a ecliptic_a or_o 12_o sign_n of_o the_o zodiac_n so_o also_o in_o every_o month_n he_o pass_v about_o one_o sign_n but_o his_o entrance_n into_o the_o sign_n be_v not_o at_o the_o begin_n of_o the_o month_n but_o on_o the_o 21th_o day_n of_o every_o month_n and_o this_o be_v according_a to_o the_o gregorian_a calendar_n and_o on_o the_o 11_o day_n of_o every_o month_n according_a to_o the_o old_a julian_n account_n viz._n on_o the_o 21th_o of_o march_n he_o enter_v the_o sign_n of_o aries_n or_o the_o very_a section_n of_o the_o ecliptic_a with_o the_o aequator_fw-la then_o on_o the_o 21th_o of_o april_n he_o enter_v taurus_n and_o so_o on_o now_o
map_n for_o if_o a_o parallel_n line_n be_v draw_v through_o the_o place_n give_v to_o the_o aequator_fw-la right_a or_o circular_a from_o the_o pole_n of_o the_o map_n in_o crooked_a line_n this_o be_v draw_v will_v cut_v the_o ecliptic_a in_o two_o point_n from_o which_o the_o day_n of_o the_o year_n will_v be_v manifest_a but_o if_o you_o require_v the_o resolution_n of_o the_o problem_n on_o a_o globe_n or_o on_o map_n you_o ought_v to_o know_v the_o latitude_n of_o the_o place_n with_o this_o enter_v the_o table_n of_o the_o declination_n place_v in_o the_o 22th_o chapter_n and_o except_o the_o day_n in_o which_o the_o sun_n have_v such_o a_o declination_n they_o shall_v be_v the_o day_n require_v proposition_n viii_o a_o place_n be_v give_v seat_v in_o the_o frigid_a zone_n to_o show_v those_o day_n in_o which_o the_o sun_n do_v not_o set_v to_o that_o place_n and_o in_o what_o day_n he_o rise_v not_o also_o the_o first_o and_o last_o of_o those_o day_n in_o which_o he_o set_v not_o to_o that_o place_n or_o in_o which_o he_o rise_v not_o to_o the_o same_o zone_n of_o the_o rise_n and_o set_v of_o the_o sun_n in_o the_o place_n seat_v in_o the_o frigid_a zone_n in_o the_o globe_n let_v the_o place_n give_v be_v bring_v to_o the_o meridian_n and_o let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n then_o turn_v the_o globe_n round_o let_v the_o point_n of_o the_o ecliptic_a which_o set_v not_o be_v mark_v in_o the_o crena_n of_o the_o horizon_n and_o in_o the_o other_o crena_n those_o that_o do_v not_o arise_v therefore_o that_o degree_n which_o be_v between_o the_o first_o degree_n of_o aries_n and_o the_o first_o of_o cancer_n will_v show_v the_o first_o day_n in_o which_o the_o sun_n set_v not_o to_o that_o place_n and_o the_o other_o degree_n between_o the_o first_o of_o cancer_n and_o the_o first_o of_o libra_n will_v show_v the_o last_o day_n and_o in_o these_o day_n the_o sun_n radiate_v the_o horizon_n yet_o he_o will_v remain_v above_o it_o which_o yet_o must_v be_v understand_v of_o the_o centre_n of_o the_o sun_n but_o in_o the_o intermedial_a day_n he_o will_v perpetual_o remain_v above_o the_o horizon_n by_o the_o same_o method_n those_o day_n will_v be_v find_v in_o which_o the_o sun_n will_v remain_v beneath_o the_o horizon_n in_o the_o opposite_a part_n of_o the_o year_n and_o the_o first_o and_o last_o day_n of_o they_o globe_n this_o perform_v by_o the_o globe_n by_o a_o more_o easy_a method_n this_o may_v be_v do_v upon_o the_o globe_n yet_o with_o less_o manifest_a demonstration_n as_o many_o degree_n as_o the_o place_n give_v be_v distant_a from_o the_o pole_n let_v so_o many_o be_v number_v in_o the_o meridian_n from_o the_o aequator_fw-la and_o let_v the_o term_n be_v note_v on_o both_o side_n of_o the_o aequator_fw-la then_o the_o globe_n be_v turn_v round_o observe_v what_o point_v of_o the_o ecliptic_a pass_n through_o the_o note_a point_n of_o the_o meridian_n for_o those_o that_o be_v near_o to_o the_o begin_n of_o cancer_n and_o the_o arch_n comprehend_v will_v show_v the_o day_n of_o the_o perpetual_a stay_n of_o the_o sun_n above_o the_o horizon_n of_o the_o place_n give_v the_o other_o arch_n within_o the_o point_n about_o the_o begin_n of_o capricorn_n will_v show_v the_o day_n of_o the_o perpetual_a absence_n of_o the_o sun_n beneath_o the_o horizon_n of_o the_o place_n give_v map_n also_o by_o map_n in_o map_n let_v the_o compliment_n of_o the_o latitude_n of_o the_o place_n or_o distance_n of_o the_o place_n from_o the_o pole_n be_v number_v in_o the_o side-line_n of_o the_o map_n from_o the_o aequator_fw-la towards_o both_o the_o pole_n and_o the_o parallel_n to_o the_o aequator_fw-la be_v describe_v through_o the_o term_n of_o the_o numeration_n whether_o the_o map_n consist_v of_o strait_n or_o crooked_a line_n as_o we_o have_v show_v in_o the_o forecited_a proposition_n these_o line_n so_o draw_v shall_v cut_v the_o ecliptic_a each_o in_o two_o point_n these_o point_n will_v show_v the_o first_o and_o last_o daâ—â—_n of_o the_o perpetual_a stay_n of_o the_o sun_n above_o the_o horizon_n and_o the_o arch_a intercept_n all_o the_o day_n of_o the_o perpetual_a stay_n the_o other_o line_n in_o the_o opposite_a point_n 〈◊〉_d the_o ecliptic_a will_v show_v the_o perpetual_a delitescence_n of_o the_o sun_n beneath_o the_o horizon_n declination_n likewise_o by_o a_o table_n of_o the_o declination_n by_o a_o table_n of_o the_o declination_n it_o be_v thus_o do_v if_o the_o latitude_n of_o the_o place_n be_v know_v enter_v with_o the_o compliment_n of_o the_o latitude_n the_o table_n of_o the_o declination_n and_o seek_v that_o declination_n such_o as_o be_v the_o latitude_n of_o the_o place_n which_o you_o shall_v find_v four_o time_n and_o take_v those_o four_o day_n in_o which_o the_o sun_n have_v that_o declination_n two_o of_o they_o whereof_o one_o be_v between_o the_o 21th_o of_o march_n and_o the_o 21th_o of_o june_n the_o other_o the_o 21th_o of_o june_n and_o the_o 21th_o of_o september_n be_v the_o first_o and_o last_o of_o the_o perpetual_a stay_n of_o the_o sun_n above_o the_o horizon_n the_o other_o two_o of_o the_o perpetual_a stay_n beneath_o the_o horizon_n of_o the_o place_n propound_v the_o intermedial_a day_n will_v be_v of_o the_o perpetual_a stay_n of_o the_o sun_n above_o or_o under_o the_o horizon_n proposition_n ix_o the_o day_n of_o the_o year_n be_v give_v to_o find_v those_o place_n of_o the_o earth_n in_o the_o globe_n or_o the_o map_n in_o which_o the_o sun_n that_o day_n be_v vertical_a in_o the_o meridies_n viz._n one_o place_n after_o another_o from_o the_o day_n give_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a may_v be_v find_v according_a to_o the_o method_n of_o the_o 22th_o chapter_n in_o the_o globe_n let_v the_o place_n of_o the_o sun_n be_v bring_v to_o the_o point_n of_o the_o meridian_n which_o it_o hang_v over_o let_v the_o globe_n be_v turn_v round_o so_o all_o the_o place_n which_o pass_v through_o the_o mark_v point_n be_v those_o which_o be_v seek_v for_o in_o map_n let_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a be_v mark_v and_o through_o it_o let_v a_o right_a parallel_n of_o the_o aequator_fw-la be_v draw_v or_o otherwise_o a_o crooked_a as_o the_o table_n shall_v either_o consist_v of_o strait_a or_o crooked_a line_n so_o all_o the_o place_n of_o this_o parallel_n shall_v be_v those_o demand_v but_o it_o ought_v to_o be_v in_o the_o hemisphere_n of_o the_o map_n by_o the_o table_n of_o the_o declination_n deliver_v in_o the_o precedent_a chapter_n the_o latitude_n of_o those_o place_n may_v be_v find_v proposition_n x._o the_o day_n of_o the_o year_n be_v give_v to_o find_v those_o place_n of_o the_o earth_n in_o which_o the_o sun_n viz._n his_o centre_n do_v not_o set_v so_o that_o this_o day_n may_v be_v the_o first_o of_o all_o those_o in_o which_o the_o sun_n do_v not_o set_v in_o those_o place_n and_o to_o find_v those_o place_n in_o which_o the_o sun_n do_v not_o arise_v with_o the_o same_o condition_n arise_v the_o day_n of_o theyear_n be_v give_v to_o find_v those_o place_n of_o the_o earth_n in_o which_o the_o sun_n do_v not_o set_v nor_o arise_v the_o day_n must_v be_v one_o of_o those_o which_o fall_v between_o the_o 21th_o of_o march_n and_o the_o 21th_o of_o june_n or_o the_o 21th_o of_o september_n and_o the_o 21th_o of_o december_n first_o of_o all_o let_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a at_o the_o day_n give_v be_v find_v than_o the_o rest_n will_v follow_v so_o in_o the_o globe_n let_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a be_v bring_v to_o the_o meridian_n and_o how_o many_o degree_n be_v intercept_v between_o that_o and_o the_o aequator_fw-la in_o the_o meridian_n let_v so_o many_o be_v number_v from_o the_o pole_n towards_o the_o aequator_fw-la or_o how_o many_o degree_n be_v between_o the_o place_n of_o the_o sun_n and_o the_o pole_n let_v so_o many_o be_v number_v from_o the_o aequator_fw-la towards_o the_o pole_n let_v the_o term_n of_o the_o numeration_n be_v note_v with_o a_o chalk_n or_o let_v a_o parallel_n be_v draw_v to_o it_o all_o the_o place_n seat_v in_o this_o parallel_n satisfy_v the_o first_o demand_n but_o those_o place_n which_o be_v seek_v for_o in_o the_o second_o place_n shall_v be_v in_o the_o parallel_n equal_o distant_a from_o the_o other_o pole_n in_o map_n let_v the_o declination_n of_o the_o sun_n note_v be_v number_v from_o the_o pole_n towards_o the_o aequator_fw-la in_o the_o lateral_a line_n and_o let_v the_o parallel_n of_o the_o aequator_fw-la be_v draw_v through_o the_o term._n all_o the_o place_n lie_v in_o this_o parallel_n
definition_n spring_n summer_n autumn_n and_o winter_n may_v be_v attribute_v to_o all_o place_n of_o the_o earth_n neither_o be_v it_o easy_a to_o find_v out_o any_o other_o mode_n of_o define_v they_o so_o that_o they_o may_v agree_v with_o all_o place_n now_o these_o definition_n be_v lay_v down_o let_v we_o come_v to_o the_o matter_n itself_o proposition_n iii_o the_o celestial_a summer_n of_o the_o place_n of_o the_o earth_n which_o lie_v between_o the_o tropic_a of_o cancer_n and_o the_o pole_n arctic_a begin_v with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o degree_n of_o cancer_n viz._n the_o 21_o of_o june_n and_o end_n with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o degree_n of_o libra_n viz._n the_o 21_o of_o september_n and_o that_o together_o at_o once_o in_o all_o those_o place_n so_o that_o autumn_n be_v in_o those_o place_n the_o sun_n go_v from_o the_o first_o of_o libra_n unto_o the_o first_o of_o capricorn_n the_o winter_n whilst_o the_o sun_n move_v from_o the_o first_o of_o capricorn_n to_o the_o first_o of_o aries_n the_o spring_n whilst_o the_o sun_n move_v from_o the_o first_o degree_n of_o aries_n unto_o the_o first_o of_o cancer_n year_n further_o concern_v the_o season_n of_o the_o year_n the_o truth_n of_o this_o proposition_n be_v easy_o show_v by_o the_o antecedent_n definition_n and_o may_v be_v demonstrate_v on_o the_o globe_n and_o in_o universal_a map_n for_o the_o sun_n come_v to_o the_o first_o degree_n of_o cancer_n have_v the_o least_o distance_n in_o the_o meridies_n from_o the_o vertex_n of_o every_o one_o of_o the_o place_n of_o the_o northern_a temperate_a and_o frigid_a zone_n after_o the_o same_o mode_n the_o sun_n in_o the_o first_o degree_n of_o libra_n have_v a_o moderate_a distance_n from_o those_o vertex_n in_o the_o first_o of_o capricorn_n a_o great_a in_o the_o first_o of_o aries_n a_o moderate_a and_o he_o ascend_v to_o a_o more_o great_a which_o be_v apparent_a both_o from_o the_o declination_n of_o the_o sun_n and_o from_o the_o globe_n and_o map_n therefore_o it_o be_v infer_v by_o the_o definition_n lay_v down_o before_o that_o the_o summer_n the_o winter_n and_o the_o spring_n of_o those_o place_n begin_z and_o end_v in_o those_o day_n we_o have_v speak_v of_o the_o summer_n of_o those_o place_n of_o the_o earth_n which_o lie_v between_o the_o tropic_a of_o capricorn_n and_o the_o antarctic_a pole_n or_o those_o of_o the_o southern_a zone_n temperate_a and_o frigid_a begin_v with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o capricorn_n viz._n 21_o of_o december_n and_o end_n with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o aries_n viz._n the_o 21_o of_o march._n the_o autumn_n of_o those_o place_n begin_v with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o aries_n and_o end_n with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o cancer_n viz._n the_o 21_o of_o june_n with_o this_o the_o winter_n of_o those_o place_n begin_v which_o end_v with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o libra_n viz._n 21_o of_o september_n and_o with_o this_o their_o spring_n begin_v and_o end_v with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o capricorn_n viz._n 21_o of_o december_n where_o the_o summer_n begin_v again_o these_o be_v show_v after_o the_o same_o mode_n by_o the_o definition_n deliver_v and_o by_o the_o globe_n or_o map_n by_o which_o we_o show_v the_o former_a because_o in_o the_o first_o degree_n of_o capricorn_n the_o sun_n have_v the_o least_o distance_n from_o the_o vertex_n of_o those_o place_n in_o the_o first_o of_o aries_n a_o moderate_a and_o descend_v to_o the_o less_o in_o the_o first_o of_o cancer_n the_o great_a in_o the_o first_o of_o libra_n a_o moderate_a and_o ascend_v to_o a_o great_a but_o the_o celestial_a summer_n spring_n autumn_n and_o winter_n of_o the_o place_n of_o the_o earth_n which_o lie_v in_o the_o torrid_a zone_n between_o the_o tropic_a of_o cancer_n and_o capricorn_n do_v not_o begin_v on_o one_o and_o the_o same_o day_n of_o the_o year_n but_o on_o divers_a day_n in_o every_o place_n of_o diverse_a parallel_n or_o of_o a_o diverse_a latitude_n of_o this_o zone_n now_o the_o place_n of_o the_o torrid_a zone_n be_v threefold_a viz._n the_o place_n of_o the_o aequator_fw-la the_o northern_a place_n of_o the_o torrid_a zone_n and_o the_o southern_a place_n of_o the_o torrid_a zone_n 1._o the_o place_n lie_v in_o the_o aequator_fw-la have_v this_o peculiar_a to_o they_o that_o they_o enjoy_v two_o summer_n two_o winter_n two_o spring_n season_n and_o two_o autumn_n and_o that_o in_o every_o year_n so_o that_o in_o half_a a_o year_n they_o have_v or_o aught_o to_o have_v those_o four_o season_n according_a to_o our_o definition_n and_o the_o celestial_a law_n they_o have_v again_o the_o same_o four_o season_n from_o the_o 21_o of_o september_n to_o the_o 21_o of_o march_n september_n half_n a_o year_n be_v from_o the_o 21_o of_o march_n to_o the_o 21_o of_o september_n viz._n one_o summer_n whilst_o the_o sun_n move_v from_o the_o first_o degree_n of_o aries_n to_o the_o second_o of_o taurus_n from_o the_o 21_o of_o march_n to_o the_o 22_o of_o april_n autumn_n whilst_o the_o sun_n move_v from_o the_o second_o degree_n of_o taurus_n to_o the_o first_o of_o cancer_n from_o the_o 22_o of_o april_n to_o the_o 21_o of_o june_n zodiac_n the_o motion_n of_o â—he_n sun_n in_o the_o 12_o sign_n of_o the_o zodiac_n winter_n whilst_o the_o sun_n move_v from_o the_o first_o degree_n of_o cancer_n to_o the_o second_o of_o leo_n from_o the_o 21_o of_o june_n to_o the_o 19_o of_o august_n the_o spring_n whilst_o the_o sun_n move_v from_o the_o 28_o degree_n of_o leo_n to_o the_o first_o of_o libra_n from_o the_o 19_o of_o august_n to_o the_o 21_o of_o september_n the_o other_o summer_n whilst_o the_o sun_n move_v from_o the_o first_o degree_n of_o libra_n to_o the_o second_o of_o scorpio_n from_o the_o 21_o of_o september_n to_o the_o 22_o of_o october_n the_o other_o autumn_n whilst_o the_o sun_n move_v from_o the_o second_o degree_n of_o scorpio_n to_o the_o first_o of_o capricorn_n from_o the_o 22_o of_o october_n to_o the_o 21_o of_o december_n the_o other_o winter_n whilst_o the_o sun_n move_v from_o the_o first_o degree_n of_o capricorn_n to_o the_o 28_o of_o aquarius_n from_o the_o 21_o of_o december_n to_o the_o 19_o of_o february_n the_o other_o spring_n be_v whilst_o the_o sun_n do_v move_v from_o the_o 28_o degree_n of_o aquarius_n to_o the_o first_o of_o aries_n from_o the_o 19_o of_o february_n to_o the_o 21_o of_o march._n all_o these_o be_v easy_o demonstrate_v from_o the_o definition_n lay_v down_o because_o that_o the_o sun_n in_o the_o first_o degree_n of_o aries_n and_o in_o the_o first_o of_o libra_n have_v the_o less_o distance_n in_o the_o meridies_n from_o the_o vertices_fw-la of_o the_o place_n lie_v under_o the_o aequator_fw-la for_o 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again_o opposite_a four_o day_n of_o the_o year_n in_o two_o of_o which_o the_o sun_n shall_v obtain_v a_o middle_a distance_n from_o the_o place_n give_v if_o therefore_o the_o place_n give_v be_v north_n take_v two_o of_o those_o four_o day_n whereof_o one_o happen_v between_o the_o 21_o of_o december_n and_o the_o 21_o of_o march_n this_o shall_v be_v the_o entrance_n of_o the_o spring_n the_o other_o between_o the_o 21_o of_o september_n and_o the_o 21_o of_o december_n this_o shall_v be_v the_o entrance_n of_o autumn_n but_o if_o the_o place_n give_v be_v south_n from_o those_o four_o day_n you_o must_v take_v the_o day_n between_o the_o 21_o of_o june_n and_o the_o 21_o of_o september_n for_o the_o entrance_n of_o the_o spring_n and_o for_o the_o begin_n of_o autumn_n that_o which_o happen_v between_o the_o 21_o of_o march_n and_o the_o 21_o of_o june_n the_o beginning_n of_o winter_n shall_v be_v the_o 21_o of_o june_n if_o the_o place_n be_v south_n but_o if_o north_n the_o 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shall_v be_v equal_a or_o of_o equal_a day_n except_o some_o day_n viz._n five_o in_o which_o the_o summer_n and_o four_o in_o which_o the_o spring_n of_o the_o northern_a place_n exceed_v the_o autumn_n and_o the_o winter_n but_o in_o the_o southern_a place_n it_o be_v otherwise_o for_o autumn_n and_o winter_n exceed_v the_o spring_n and_o summer_n which_o as_o we_o have_v show_v before_o proceed_v from_o the_o excentricity_n of_o the_o sun_n 2._o in_o place_n lie_v under_o the_o aequator_fw-la there_o be_v two_o summer_n as_o also_o other_o season_n but_o hoth_v short_a as_o also_o both_o the_o spring_n viz._n each_o summer_n and_o each_o spring_n have_v only_o 32_o day_n which_o be_v 64_o day_n but_o the_o autumn_n and_o winter_n be_v long_o viz._n 55_o day_n which_o be_v 110_o day_n 3._o in_o the_o place_n of_o the_o torrid_a zone_n by_o how_o much_o the_o less_o they_o be_v remote_a from_o the_o aequator_fw-la by_o so_o much_o the_o more_o they_o have_v the_o long_a summer_n the_o 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above_o almost_o make_v up_o and_o moderate_v they_o to_o wit_n in_o the_o region_n of_o the_o northern_a temperate_a zone_n it_o be_v spring_n and_o summer_n the_o sun_n go_v from_o aries_n by_o cancer_n to_o libra_n because_o than_o he_o be_v more_o near_o they_o then_o the_o sun_n go_v from_o libra_n through_o capricorn_n to_o aries_n it_o be_v autumn_n and_o winter_n but_o in_o the_o southern_a temperate_a zone_n the_o matter_n be_v contrary_a neither_o can_v those_o other_o cause_n altogether_o disable_v the_o force_n of_o this_o first_o and_o induce_v a_o new_a course_n of_o the_o season_n and_o be_v able_a to_o alter_v the_o time_n as_o in_o the_o torrid_a zone_n 2._o yet_o those_o season_n of_o divers_a place_n vary_v so_o that_o in_o one_o place_n there_o may_v be_v more_o heat_n or_o cold_a or_o rain_v than_o in_o another_o although_o the_o place_n lie_v in_o the_o same_o climate_n but_o yet_o they_o cause_v not_o the_o winter_n to_o be_v change_v into_o summer_n or_o 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place_n to_o wit_n the_o 31_o of_o december_n if_o in_o that_o place_n it_o be_v the_o first_o of_o january_n and_o saturday_n or_o the_o last_o day_n of_o the_o week_n when_o in_o this_o place_n it_o shall_v be_v sunday_n or_o the_o first_o day_n of_o a_o new_a week_n and_o if_o they_o have_v sail_v round_o the_o earth_n twice_o thrice_o or_o soin_fw-fr time_n they_o shall_v also_o reckon_v so_o many_o day_n less_o this_o be_v a_o matter_n of_o wonder_n and_o admiration_n some_o age_n ago_o to_o mâ—â—â—â—_n and_o other_o but_o the_o frequency_n of_o this_o experiment_n have_v lessehen_fw-ge the_o admination_n and_o have_v administer_v occasion_n to_o mathemnâ—â—â—_n to_o 〈…〉_o the_o cause_n neither_o be_v it_o difficult_a to_o explain_v the_o same_o so_o that_o the_o motion_n of_o the_o sun_n and_o the_o meridian_n of_o the_o place_n of_o the_o earth_n be_v well_o apprehend_v and_o a_o certain_a day_n of_o the_o year_n be_v propose_v â—_o for_o it_o dependetiâ—â—_n the_o diurual_a 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departure_n hitherto_o they_o have_v number_v the_o first_o day_n of_o january_n if_o that_o they_o set_v sail_n on_o the_o same_o and_o the_o difference_n shall_v be_v one_o or_o two_o hour_n this_o anticipation_n daily_o increase_v until_o they_o come_v towards_o the_o east_n so_o that_o it_o shall_v make_v the_o hour_n of_o half_a a_o day_n when_o they_o come_v to_o the_o opposite_a semicircle_n of_o the_o meridian_n for_o here_o they_o shall_v have_v the_o meridies_n of_o a_o new_a day_n when_o in_o the_o place_n of_o their_o set_n forth_o it_o shall_v be_v the_o midnight_n of_o the_o precede_a day_n and_o where_o they_o shall_v come_v to_o the_o meridian_n 1â—_n degree_n more_o remote_a be_v in_o that_o they_o shall_v have_v the_o meridies_n 13_o hour_n soon_o than_o in_o the_o place_n of_o their_o set_n forth_o and_o when_o again_o they_o shall_v come_v to_o a_o meridian_n more_o remote_a 15_o degree_n there_o they_o shall_v have_v the_o minidiesâ—4_n â—4_z hour_n soon_o than_o in_o the_o place_n of_o their_o set_n forth_o and_o so_o moreover_o as_o they_o shall_v come_v to_o the_o meridian_n or_o place_v more_o remote_a 15_o degree_n they_o shall_v have_v the_o meridies_n 15_o 16_o 17_o hour_n soon_o and_o shall_v begin_v to_o account_v a_o new_a day_n soon_o than_o in_o their_o place_n of_o their_o set_n forth_o so_o that_o when_o at_o length_n they_o shall_v have_v return_v to_o the_o place_n they_o shall_v then_o number_v the_o meridies_n of_o a_o new_a day_n soon_o by_o 24_o hour_n where_o in_o the_o place_n also_o the_o meridies_n be_v which_o yet_o may_v answer_v in_o number_n to_o the_o meridies_n which_o the_o mariner_n have_v the_o former_a day_n but_o it_o be_v contrary_a with_o those_o who_o sail_n towards_o the_o west_n when_o they_o return_v to_o the_o place_n from_o whence_o they_o set_v forth_o for_o by_o how_o much_o the_o more_o they_o recede_v from_o this_o place_n by_o so_o much_o the_o more_o they_o shall_v have_v the_o sun_n late_a in_o the_o meridies_n because_o they_o be_v in_o a_o more_o remote_a meridian_n and_o therefore_o do_v late_a begin_v the_o account_n of_o their_o new_a day_n than_o in_o the_o place_n whence_o they_o set_v forth_o so_o that_o this_o proposition_n take_v away_o a_o whole_a day_n in_o the_o return_n corollary_n 1._o corollary_n corollary_n if_o that_o two_o at_o the_o same_o time_n set_v forth_o from_o any_o place_n of_o the_o earth_n the_o one_o towards_o the_o east_n the_o other_o towards_o the_o west_n and_o they_o shall_v return_v both_o together_o to_o the_o same_o place_n the_o whole_a earth_n be_v sail_v about_o he_o that_o take_v his_o journey_n towards_o the_o east_n shall_v reckon_v two_o day_n more_o than_o he_o which_o take_v it_o towards_o the_o west_n and_o if_o they_o have_v sail_v the_o earth_n about_o twice_o they_o shall_v reckon_v a_o day_n more_o if_o thrice_o 6_o day_n more_o etc._n etc._n but_o the_o day_n of_o these_o be_v long_o of_o those_o short_a corollary_n 2._o the_o same_o will_v happen_v if_o that_o in_o any_o place_n of_o the_o earth_n any_o two_o meet_v one_o the_o other_o and_o from_o hence_o first_o and_o then_o often_o afterward_o be_v this_o apparent_o discover_v for_o when_o ferdinando_n magellanes_n by_o a_o direct_a course_n into_o the_o west_n have_v enter_v the_o indies_n by_o the_o strait_n denominate_v from_o he_o it_o be_v find_v out_o by_o the_o mariner_n which_o there_o meet_v with_o other_o european_n bring_v towards_o the_o east_n by_o a_o ordinary_a journey_n that_o the_o kaleudar_n or_o the_o numeration_n of_o the_o day_n differ_v a_o whole_a day_n the_o same_o have_v be_v observe_v by_o all_o which_o have_v sail_v round_o the_o earth_n when_o they_o have_v come_v into_o the_o indies_n corillary_n 10._o this_o also_o be_v the_o cause_n that_o in_o two_o near_a place_n the_o account_n of_o a_o different_a day_n 〈◊〉_d observe_v viz._n in_o the_o philippine_n isle_n and_o in_o the_o city_n of_o marrow_n on_o the_o chaste_a of_o china_n isle_n the_o day_n in_o macoa_n not_o the_o same_o as_o in_o the_o philippine_n isle_n although_o they_o lie_v under_o the_o same_o meridian_n yet_o they_o reckon_v the_o day_n of_o the_o calendar_n soon_o in_o macoa_n than_o in_o the_o philippine_n isle_n and_o that_o by_o the_o anticipation_n of_o one_o day_n so_o that_o it_o be_v sunday_n in_o moacoa_n when_o but_o saturday_n in_o the_o philippine_n isle_n the_o cause_n of_o this_o diversity_n be_v this_o that_o the_o rortuâ—â—â—_n possess_v the_o city_n of_o macoa_n come_v thither_o from_o europe_n towards_o the_o east_n by_o asseccourse_n out_o of_o india_n but_o the_o spaniard_n which_o possess_v the_o philippine_n isle_n come_v thither_o from_o europe_n towards_o the_o west_n by_o a_o set_a course_n from_o america_n therefore_o it_o be_v in_o fer_v from_o the_o precede_a corollary_n because_o here_o in_o mâ—â—a_n and_o the_o philippines_n they_o almost_o meet_v 〈◊〉_d â—ome_v into_o the_o same_o meridian_n that_o they_o shall_v â—â—ceâ—d_v by_o one_o day_n the_o day_n of_o the_o other_o chap._n xxx_o of_o the_o various_a rise_v set_v altitude_n of_o the_o sun_n and_o other_o appearance_n in_o the_o divers_a part_n of_o the_o earth_n proposition_n 1._o to_o place_n or_o hang_v a_o terrestrial_a globe_n so_o that_o when_o the_o sun_n shine_v those_o part_n of_o the_o globe_n may_v be_v illuminate_v which_o the_o sun_n enlighten_v in_o the_o earth_n at_o any_o time_n and_o that_o it_o also_o may_v appear_v unto_o what_o people_n the_o sun_n rise_v and_o to_o who_o it_o set_v to_o who_o it_o make_v the_o meridies_n and_o to_o who_o it_o be_v altogether_o abscond_v to_o what_o place_n it_o be_v vertical_a also_o to_o find_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a and_o the_o day_n of_o the_o year_n also_o the_o hour_n of_o the_o place_n globe_n the_o motion_n of_o the_o sun_n show_v by_o the_o globe_n let_v the_o place_n in_o which_o the_o globe_n be_v place_v be_v note_v on_o the_o globe_n and_o bring_v to_o the_o meridian_n and_o let_v a_o mark_n be_v make_v with_o a_o chalk_n on_o that_o point_n of_o the_o meridian_n therefore_o if_o the_o globe_n be_v to_o be_v hang_v by_o a_o cord_n the_o cord_n must_v be_v tie_v to_o the_o point_n of_o the_o meridian_n but_o if_o that_o it_o must_v be_v place_v firm_o in_o any_o place_n a_o iron_n piâ—_n must_v be_v bring_v through_o the_o centre_n of_o the_o globe_n even_o to_o the_o opposite_a point_n and_o this_o iron_n pin_n must_v be_v close_o fix_v to_o the_o horizontal_n plain_a that_o it_o may_v remain_v immovable_a the_o globe_n must_v be_v dispose_v according_a to_o the_o four_o quarter_n of_o the_o world_n viz_o that_o the_o north_n part_n of_o the_o globe_n may_v regard_v the_o north_n part_n of_o the_o earth_n
the_o moon_n from_o the_o earth_n in_o her_o full_a be_v 64_o semidiamiter_n of_o the_o earth_n therefore_o n_n l_o shall_v be_v 11_o 15_o and_o the_o proportion_n shall_v be_v make_v thus_o as_o 64_o be_v to_o a_o 11_o 15_o so_o be_v 10000000_o to_o 114583_o which_o be_v the_o sign_n 39_o minute_n therefore_o the_o arch_n h_o l_o be_v less_o than_o 90_o deg._n 39_o minute_n and_o therefore_o 89_o deg._n 21._o minute_n therefore_o in_o the_o place_n to_o which_o the_o moon_n be_v vertical_a constitute_v in_o the_o vertex_fw-la of_o the_o horizon_n the_o people_n to_o who_o the_o moon_n than_o rise_v and_o set_v shall_v not_o be_v those_o which_o be_v behold_v in_o the_o very_a horizon_n but_o those_o in_o the_o parallel_n of_o the_o horizon_n distant_a from_o it_o 39_o minute_n proposition_n xx._n the_o declination_n of_o any_o star_n be_v give_v to_o exhibit_v all_o the_o place_n on_o the_o terrestrial_a globe_n unto_o which_o that_o star_n be_v vertical_a in_o his_o diurnal_a circumvolution_n star_n of_o the_o declination_n of_o star_n let_v the_o degree_n of_o the_o give_v declination_n of_o the_o aequator_fw-la be_v number_v on_o the_o brazen_a meridian_n and_o in_o the_o term_n of_o the_o numeration_n make_v a_o sign_n with_o a_o chalk_n or_o let_v a_o parallel_n be_v note_v on_o the_o globe_n by_o a_o chalk_n apply_v and_o the_o globe_n turn_v round_o all_o the_o place_n situate_v in_o this_o parallel_n be_v those_o which_o pass_v through_o the_o note_a point_n of_o the_o meridian_n the_o vertex_fw-la of_o which_o that_o star_n in_o every_o diurnal_a circumvolution_n shall_v possess_v for_o some_o moment_n of_o time_n proposition_n xxi_o the_o direct_a ascension_n of_o any_o star_n be_v give_v and_o the_o hour_n of_o the_o give_v day_n be_v give_v to_o show_v all_o those_o place_n on_o the_o terrestrial_a globe_n on_o who_o meridian_n the_o star_n be_v at_o the_o give_v hour_n star_n concern_v the_o ascension_n of_o any_o star_n let_v the_o degree_n give_v of_o the_o right_a ascension_n of_o the_o star_n be_v number_v in_o the_o aequator_fw-la and_o let_v a_o mark_n be_v make_v with_o chalk_n let_v also_o the_o place_n of_o the_o sun_n find_v from_o the_o give_v day_n be_v bring_v to_o the_o meridian_n and_o let_v the_o degree_n of_o the_o aequator_fw-la in_o the_o meridian_n be_v note_v let_v the_o arch_n of_o the_o aequator_fw-la intercept_v between_o these_o two_o note_a point_n be_v observe_v or_o which_o be_v the_o same_o let_v it_o be_v change_v into_o hour_n or_o scruple_n of_o hour_n for_o they_o show_v the_o time_n which_o intercede_v between_o the_o appulse_n of_o the_o sun_n and_o that_o star_n at_o any_o meridian_n this_o do_v let_v the_o place_n be_v find_v in_o who_o meridian_n the_o sun_n be_v at_o the_o give_v hour_n or_o scruple_n of_o a_o hour_n and_o the_o index_n be_v place_v at_o 12_o let_v the_o globe_n be_v turn_v until_o the_o index_n show_v the_o hour_n before_o note_v or_o until_o the_o note_a degree_n of_o the_o aequator_fw-la have_v pass_v the_o meridian_n in_o this_o situation_n of_o the_o globe_n all_o those_o place_n which_o be_v discover_v subject_a to_o the_o meridian_n be_v those_o seek_v for_o to_o wit_n those_o in_o who_o meridian_n the_o star_n be_v at_o the_o give_v time_n proposition_n xxii_o the_o right_a declination_n and_o ascension_n of_o a_o star_n be_v give_v and_o any_o time_n of_o the_o day_n be_v give_v to_o exhibit_v on_o the_o globe_n first_o that_o place_n to_o which_o the_o star_n be_v then_o vertical_a second_o all_o those_o place_n above_o who_o orison_n the_o star_n then_o shall_v be_v and_o those_o beneath_o who_o orison_n the_o same_o shall_v then_o be_v also_o those_o in_o who_o meridian_n it_o shall_v be_v at_o the_o meridies_n and_o in_o who_o meridian_n it_o shall_v be_v at_o midnight_n also_o in_o all_o those_o place_n in_o which_o the_o star_n shall_v then_o arise_v and_o all_o those_o in_o which_o it_o shall_v then_o set_v from_o the_o direct_a ascension_n let_v the_o place_n be_v find_v in_o who_o meridian_n the_o star_n be_v at_o the_o time_n give_v and_o those_o may_v remain_v subject_a to_o the_o brazen_a meridian_n then_o let_v the_o degree_n of_o the_o give_v declination_n from_o the_o aequator_fw-la towards_o the_o pole_n be_v number_v and_o the_o point_n of_o the_o globe_n which_o be_v subject_a to_o the_o term_n of_o the_o numeration_n be_v note_v for_o this_o be_v the_o place_n unto_o which_o the_o star_n shall_v be_v vertical_a at_o the_o time_n let_v it_o be_v place_v in_o the_o vertex_fw-la of_o the_o horizon_n the_o pole_n be_v elevate_v for_o latitude_n so_o those_o place_n which_o be_v subject_a to_o the_o superior_a semicircle_n of_o the_o meridian_n shall_v have_v that_o star_n at_o the_o give_v time_n in_o the_o meridian_n of_o the_o meridies_n but_o those_o place_n which_o be_v behold_v in_o the_o inseriour_a semicircle_n of_o the_o meridian_n shall_v have_v it_o in_o the_o meridian_n of_o midnight_n and_o those_o place_n which_o be_v behold_v in_o the_o oriental_a semicircle_n of_o the_o horizon_n be_v those_o to_o which_o the_o star_n set_v at_o once_o at_o that_o time_n but_o to_o those_o which_o lie_v in_o the_o occidental_a semicircle_n of_o the_o horizon_n the_o star_n than_o arise_v together_o proposition_n xxiii_o to_o exhibit_v on_o the_o terrestrial_a globe_n all_o those_o place_n in_o which_o the_o sun_n moon_n and_o all_o the_o star_n for_o so_o long_a time_n be_v obscure_v beneath_o the_o horizon_n as_o they_o remain_v to_o we_o or_o any_o other_o give_v place_n above_o the_o horizon_n let_v our_o place_n or_o any_o other_o give_v place_n be_v bring_v to_o the_o meridian_n and_o let_v the_o parallel_n of_o the_o antaeci_n be_v find_v all_o the_o place_n situate_v in_o this_o parallel_n be_v these_o seek_v for_o as_o may_v be_v show_v on_o the_o globe_n if_o that_o the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v and_o depress_v for_o the_o latitude_n of_o the_o parallel_n find_v proposition_n xxiv_o to_o show_v the_o cause_n why_o the_o day_n soon_o augment_v and_o decrease_v about_o the_o aequinox_n and_o more_o slow_o about_o the_o solstice_n where_o for_o many_o day_n there_o seem_v to_o be_v no_o increase_n or_o decrease_v and_o that_o except_o the_o aequator_fw-la in_o all_o the_o place_n of_o the_o earth_n and_o so_o much_o the_o more_o by_o how_o much_o they_o be_v more_o remove_v from_o the_o aequator_fw-la solstice_n concern_v the_o augment_v and_o decrease_v of_o the_o day_n about_o the_o aequinox_n and_o solstice_n for_o example_n let_v we_o take_v 30_o day_n before_o the_o vernal_a aequinox_n from_o the_o 20_o of_o february_n to_o the_o 21_o of_o march_n and_o 30_o day_n after_o the_o solstice_n of_o winter_n or_o the_o solstice_n of_o capricorn_n from_o the_o 21_o of_o december_n to_o the_o 21_o of_o january_n here_o the_o cause_n must_v be_v show_v why_o the_o excess_n of_o the_o 21_o of_o march_n or_o stay_v of_o the_o sun_n above_o the_o horizon_n above_o the_o longitude_n of_o the_o 20_o of_o february_n be_v much_o great_a than_o the_o excess_n of_o the_o 21_o of_o january_n be_v above_o the_o 21_o of_o december_n let_v the_o place_n of_o the_o sun_n for_o every_o one_o of_o those_o 4_o day_n be_v note_v on_o the_o ecliptic_a of_o the_o globe_n to_o wit_n the_o first_o degree_n of_o pisces_fw-la of_o aries_n capricorn_n and_o aquarius_n and_o let_v the_o parallel_n of_o the_o sun_n be_v describe_v whereof_o two_o be_v extant_a in_o the_o globe_n viz._n the_o aequator_fw-la and_o the_o tropic_a of_o capricorn_n therefore_o it_o will_v be_v apparent_a that_o the_o aequator_fw-la or_o parallel_v of_o the_o sun_n in_o the_o 1_o of_o aries_n be_v absent_a a_o far_o long_a interval_n from_o the_o parallel_n of_o the_o sun_n in_o the_o 1_o of_o pisces_fw-la than_o the_o parallel_n of_o the_o sun_n in_o the_o 1_o of_o aquarius_n from_o the_o parallel_n in_o the_o 1_o of_o capricorn_n thence_o it_o come_v to_o pass_v that_o not_o much_o a_o big_a portion_n of_o the_o parallel_n of_o the_o 1_o of_o aquarius_n be_v above_o the_o horizon_n than_o of_o the_o parallel_n of_o the_o 1_o of_o capricorn_n or_o of_o the_o tropic_a of_o capricorn_n itself_o now_o these_o part_n show_v the_o stay_n of_o the_o sun_n above_o the_o horizon_n in_o those_o day_n but_o the_o portion_n of_o the_o aequator_fw-la or_o parallel_v of_o the_o 1_o of_o aries_n that_o be_v above_o the_o horizon_n be_v much_o big_a than_o the_o portion_n of_o the_o parallel_n of_o the_o 1_o of_o pisces_fw-la now_o because_o these_o arch_n be_v above_o the_o horizon_n denote_v the_o stay_n of_o the_o sun_n above_o the_o horizon_n for_o this_o be_v the_o longitude_n of_o the_o day_n hence_o we_o
the_o four_o thing_n which_o be_v next_o above_o this_o be_v a_o dias_n for_o the_o minute_n of_o hour_n so_o that_o you_o shall_v see_v every_o minute_n pass_v two_o beautiful_a picture_n of_o two_o child_n be_v join_v to_o either_o side_n of_o this_o he_o which_o be_v on_o the_o north-side_n have_v a_o sceptre_n in_o his_o hand_n and_o when_o the_o clock_n strike_v he_o tell_v orderly_o every_o stroke_n he_o on_o the_o southside_n have_v a_o fine_a hourglass_n in_o his_o hand_n which_o run_v just_a with_o the_o clock_n and_o when_o the_o clock_n have_v strike_v he_o turn_v his_o hourglass_n which_o be_v run_v forth_o and_o hold_v it_o run_v the_o first_o thing_n which_o be_v next_o above_o the_o minute-dial_n be_v the_o dial_n for_o the_o hour_n contain_v the_o half_a part_n also_o the_o uttermost_a circumference_n contain_v the_o hour_n but_o within_o it_o be_v make_v a_o curious_a and_o perfect_a astrolabe_n whereby_o be_v show_v the_o motion_n of_o every_o planet_n his_o aspect_n and_o in_o what_o sign_n what_o degree_n and_o what_o hour_n every_o one_o be_v in_o every_o hour_n of_o the_o day_n the_o opposition_n likewise_o of_o the_o sun_n and_o moon_n and_o the_o head_n and_o tail_n of_o the_o dragon_n and_o because_o the_o night_n darkness_n not_o the_o sun_n nor_o the_o day_n the_o moon_n or_o other_o planet_n therefore_o their_o course_n be_v here_o exact_o see_v at_o all_o time_n the_o six_o thing_n which_o be_v next_o unto_o this_o be_v a_o circle_n wherein_o the_o two_o sign_n of_o the_o moon_n rise_v and_o fall_v at_o two_o several_a hollow_a place_n it_o be_v see_v at_o what_o state_n she_o be_v and_o her_o age_n be_v declare_v by_o a_o index_n which_o be_v whole_o turn_v about_o once_o every_o month._n the_o seven_o thing_n which_o be_v about_o this_o be_v four_o little_a bell_n whereon_o the_o quarter_n of_o the_o hour_n be_v strike_v at_o the_o first_o quarter_n come_v forth_o a_o little_a boy_n and_o strike_v the_o first_o bell_n with_o a_o apple_n and_o so_o go_v and_o stay_v at_o the_o four_o bell_n until_o the_o next_o quarter_n then_o come_v a_o lusty_a youth_n and_o he_o with_o a_o dart_n strike_v two_o bell_n and_o succee_v into_o the_o place_n of_o the_o child_n at_o the_o three_o come_v forth_o a_o man_n in_o arm_n with_o a_o war-mace_n in_o his_o hand_n and_o strike_v three_o bell_n he_o succee_v into_o the_o place_n of_o the_o young_a man_n at_o the_o four_o quarter_n come_v forth_o a_o old_a man_n with_o a_o staff_n have_v a_o crook_n at_o the_o end_n and_o he_o with_o much_o ado_n because_o he_o be_v old_a striketh_z the_o four_o bell_n and_o stand_v at_o the_o four_o quarter_n until_o the_o next_o quarter_n forthwith_o to_o strike_v the_o clock_n come_v death_n in_o the_o room_n above_o this_o for_o this_o be_v the_o eight_o thing_n and_o this_o understand_v that_o at_o every_o quarter_n come_v he_o forth_o think_v to_o catch_v each_o of_o those_o former_a age_n away_o with_o he_o but_o at_o a_o contrary_a side_n in_o the_o same_o room_n where_o he_o be_v come_v christ_n forth_o and_o drive_v he_o in_o but_o when_o the_o last_o quarter_n be_v hear_v christ_n give_v he_o leave_v to_o go_v to_o the_o bell_n which_o be_v in_o the_o midst_n and_o so_o strike_v he_o with_o his_o bone_n according_a to_o the_o number_n of_o the_o hour_n and_o there_o he_o stand_v at_o the_o bell_n as_o the_o old_a man_n do_v at_o his_o quarter_n bell_n until_o the_o next_o quarter_n and_o then_o go_v they_o in_o both_o together_o the_o nine_o and_o last_o thing_n in_o this_o right_a line_n be_v the_o town_n at_o the_o top_n of_o the_o work_n wherein_o be_v a_o noble_a pleasant_a chime_n which_o go_v at_o three_o seven_o and_o eleven_o of_o the_o clock_n every_o time_n a_o diverse_a tune_n to_o one_o of_o the_o psalm_n and_o at_o christmas_n easter_n and_o whitsuntide_n a_o thanksgiving_n unto_o christ_n and_o when_o this_o chime_n have_v do_v the_o cock_n which_o stand_v on_o the_o top_n of_o the_o town_n on_o the_o north-side_n of_o the_o main_a work_n have_v stretch_v out_o his_o neck_n shake_v his_o comb_n and_o clap_v his_o wing_n twice_o crowse_v then_o twice_o and_o this_o very_o he_o do_v so_o shrill_a and_o natural_o as_o it_o will_v make_v any_o man_n to_o wonder_n and_o if_o they_o listen_v which_o attend_v the_o clock_n they_o make_v he_o to_o crow_n more_o time_n in_o this_o town_n whereon_o this_o cock_n stand_v be_v convey_v all_o the_o instrument_n of_o those_o motion_n which_o be_v in_o the_o foresay_a describe_v thing_n the_o other_o place_n of_o note_n in_o this_o low_a alsatia_n be_v 2._o altkirck_n in_o the_o part_n of_o sungou_n 3._o ensisheim_n in_o high_a alsatia_n 4._o frisbourg_n in_o brisgou_n 6._o offenbourg_n in_o mortnais_n and_o 7._o bid_v in_o the_o marquisate_n rhine_n palatinate_n of_o the_o rhine_n the_o palatinate_n of_o the_o rhine_n which_o be_v divide_v or_o sever_v into_o the_o estate_n of_o the_o palatinate_n the_o estate_n of_o the_o prince_n of_o the_o house_n palatinate_n and_o the_o bishopric_n and_o imperial_a city_n of_o spire_n and_o worm_n the_o chief_a place_n be_v heidelberg_n seat_v in_o a_o plain_a but_o environ_v on_o three_o side_n with_o high_a mountain_n and_o the_o other_o regard_v the_o rhine_n from_o which_o it_o be_v distant_a about_o a_o mile_n it_o be_v dignify_v with_o the_o seat_n of_o the_o palsgraves_n as_o also_o with_o a_o university_n 2._o spire_n seat_v in_o a_o plain_a about_o half_a a_o mile_n from_o the_o rhine_n a_o city_n of_o more_o antiquity_n than_o beauty_n and_o trade_n be_v of_o note_n for_o the_o imperial_a chamber_n here_o continual_o keep_v 3._o worm_n a_o city_n also_o of_o good_a antiquity_n for_o the_o many_o imperial_a parliament_n here_o former_o hold_v and_o 4._o frankendal_n a_o new_a fair_a strong_a and_o beautiful_a city_n about_o which_o grow_v great_a plenty_n of_o rhenish_a wine_n cologne_n electorates_n of_o mayence_n trive_v and_o cologne_n the_o electorates_n and_o archbishopric_n on_o the_o rhine_n be_v those_o of_o mayence_n who_o chief_a place_n be_v mayence_n and_o aschaffenbourg_n of_o treves_n who_o chief_a place_n be_v treves_n and_o coblentz_n and_o of_o cologne_n who_o principal_a place_n be_v cologne_n and_o bonne_fw-fr cleaveland_n cleaveland_n the_o estate_n of_o the_o succession_n of_o cleaveland_n contain_v the_o dutchy_n of_o cleves_n of_o julier_fw-la and_o of_o berge_n the_o duchy_n of_o cleves_n and_o county_n of_o mark_n be_v in_o the_o marquisate_n of_o brandenburg_n cleves_n duchy_n of_o cleves_n and_o have_v for_o its_o chief_a place_n wesel_n and_o hamme_n in_o the_o county_n of_o mark_n juliers_n duchy_n of_o juliers_n the_o duchy_n of_o juliers_n have_v for_o its_o chief_a place_n aken_n where_o the_o emperor_n after_o his_o election_n be_v invest_v with_o the_o silver_n crown_n of_o germany_n this_o place_n be_v of_o great_a esteem_n for_o its_o holy_a relic_n and_o 2._o juliers_n the_o duchy_n of_o berge_n or_o monte_fw-fr have_v for_o its_o chief_a place_n dusseldrop_n hattingen_n and_o arusberg_n the_o unite_a province_n under_o the_o name_n of_o the_o unite_a province_n of_o the_o low_a country_n or_o netherlands_o be_v contain_v the_o duchy_n of_o gelder_n the_o earldom_n of_o holland_n zealand_n and_o zutphen_n and_o the_o lordship_n of_o vtrecht_n overyssel_n groningue_n and_o malines_n guelderland_n duchy_n of_o guelderland_n the_o duchy_n of_o gvelder_n or_o gvelderland_n westward_n of_o brabant_n be_v divide_v into_o the_o quarter_n of_o betuve_n veluve_fw-fr and_o gelder_n particular_o so_o call_v wherein_o be_v the_o town_n of_o 1._o nieumegue_n once_o a_o free_a city_n seat_v on_o the_o branch_n of_o the_o rhine_n call_v whael_n and_o make_v one_o of_o the_o imperial_a seat_n in_o these_o part_n by_o charles_n the_o great_a the_o other_o two_o be_v thionvil_n and_o aken_n 2._o arnhem_o the_o usual_a residence_n of_o the_o duke_n of_o gelder_n 3._o ruremond_n so_o call_v from_o the_o river_n ruer_n and_o monde_n 4._o harderwick_n from_o a_o village_n make_v a_o wall_a town_n by_o otho_n the_o three_o earl_n 5._o gelder_n 6._o venlo_n and_o 7._o bommel_n holland_n earldom_n of_o holland_n the_o earldom_n of_o holland_n have_v on_o the_o west_n and_o north_n the_o sea_n from_o which_o no_o part_n be_v above_o three_o hour_n distance_n in_o this_o earldom_n be_v say_v to_o be_v about_o 400_o village_n and_o 23_o town_n the_o chief_a of_o which_o be_v amsterdam_n which_o of_o late_a by_o the_o addition_n of_o the_o new_a to_o the_o old_a be_v a_o fair_a strong_a and_o beautiful_a city_n be_v the_o most_o rich_a and_o powerful_a of_o all_o the_o netherlands_o famous_a for_o its_o great_a trade_n to_o the_o utmost_a part_n of_o the_o world_n and_o as_o infamous_a for_o its_o
infect_v and_o animal_n animal_n its_o infect_v and_o animal_n as_o scorpion_n as_o big_a as_o rat_n but_o no_o way_n hurtful_a lizard_n so_o harmless_a that_o they_o frequent_v the_o house_n and_o love_v the_o company_n of_o man_n land_n crab_n in_o great_a abundance_n which_o be_v good_a to_o eat_v also_o muskettoe_n cockroche_n and_o merrywing_n which_o be_v very_o troublesome_a in_o the_o night_n in_o sting_v to_n it_o be_v division_n and_o to_n this_o isle_n be_v sever_v into_o eleven_o precinct_n or_o parish_n in_o which_o be_v fourteen_o church_n and_o chapel_n beside_o many_o place_n which_o may_v not_o improper_o be_v call_v town_n as_o compose_v of_o a_o long_a and_o spacious_a street_n and_o beautify_v with_o fair_a house_n and_o of_o late_a year_n the_o whole_a isle_n be_v so_o take_v up_o that_o there_o be_v no_o such_o thing_n as_o any_o waste_a ground_n it_o be_v chief_a town_n be_v 1._o st._n michael_n former_o call_v the_o bridge_n town_n or_o indian_a bridge_n seat_v at_o the_o bottom_n of_o carlisle_n bay_n which_o be_v very_o deep_a capacious_a and_o secure_a fit_a to_o give_v harbour_n for_o about_o 500_o vessel_n at_o one_o time_n the_o town_n be_v large_a and_o long_o contain_v several_a street_n and_o grace_v with_o above_o 500_o well_o build_v house_n it_o be_v very_o populous_a be_v the_o residence_n of_o the_o governor_n the_o place_n of_o judicature_n and_o the_o scale_n of_o trade_n where_o most_o of_o the_o merchant_n and_o factor_n in_o the_o isle_n have_v their_o storehouse_n for_o the_o negotiation_n of_o their_o affair_n in_o the_o supply_n the_o inhabitant_n with_o such_o commodity_n as_o they_o have_v occasion_n of_o in_o exchange_n of_o they_o the_o product_n of_o the_o isle_n for_o the_o security_n of_o the_o ship_n here_o be_v two_o strong_a fort_n opposite_a to_o each_o other_o with_o a_o platform_n in_o the_o midst_n which_o command_v the_o road_n all_o fortify_v with_o great_a gun_n etc._n etc._n 2._o little_a bristol_n former_o spright_n bay_a have_v a_o commodious_a road_n for_o ship_n which_o be_v secure_v by_o two_o powerful_a fort_n and_o be_v a_o place_n well_o resort_v unto_o 3._o st._n james_n have_v the_o conveniency_n of_o a_o good_a road_n for_o ship_n which_o be_v well_o secure_v by_o a_o large_a platform_n and_o fortify_v breast-work_n it_o be_v a_o town_n of_o a_o good_a trade_n well_o inhabit_a and_o the_o more_o as_o be_v the_o place_n where_o the_o monthly_a court_n for_o the_o precinct_n be_v keep_v and_o 4._o charles_n town_n seat_v on_o oyster_n bay_n well_o secure_v by_o two_o strong_a fort_n with_o a_o platform_n in_o the_o midst_n this_o town_n have_v the_o accommodation_n of_o a_o weekly_a market_n and_o be_v the_o place_n where_o the_o monthly_a court_n be_v keep_v for_o the_o precinct_n make_v it_o to_o be_v well_o inhabit_a and_o frequent_v this_o isle_n be_v of_o a_o great_a strength_n as_o well_o by_o nature_n as_o art_n strength_n it_o be_v strength_n be_v shelter_v with_o rock_n and_o shoal_n and_o where_o it_o be_v not_o thus_o defend_v by_o nature_n it_o be_v fortify_v with_o trench_n and_o rampire_n with_o pallisadoe_n curtain_n and_o counter-scarf_n and_o for_o its_o further_a defence_n have_v three_o fort_n one_o for_o a_o magazine_n and_o the_o other_o two_o for_o retreat_n they_o have_v also_o a_o stand_a militia_n consist_v of_o two_o regiment_n of_o horse_n and_o five_o of_o foot_n which_o be_v always_o to_o be_v ready_a at_o beat_v of_o drum_n inhabitant_n its_o inhabitant_n or_o sound_v of_o trumpet_n the_o inhabitant_n of_o this_o isle_n may_v be_v range_v under_o three_o sort_n viz._n master_n christian_a servant_n and_o negro-slave_n which_o be_v very_o numerous_a the_o master_n for_o the_o most_o part_n live_v at_o the_o height_n of_o pleasure_n the_o servant_n after_o the_o expiration_n of_o five_o year_n be_v freeman_n of_o the_o isle_n and_o employ_v their_o time_n according_a to_o their_o ability_n and_o capacity_n and_o the_o negro-slave_n be_v never_o out_o of_o bondage_n and_o the_o child_n they_o get_v be_v likewise_o perpetual_a slave_n these_o poor_a creature_n although_o they_o have_v such_o extreme_a hard_a usage_n for_o diet_n apparel_n or_o lodging_n and_o be_v hold_v to_o such_o hard_a labour_n and_o so_o ill_o treat_v by_o their_o master_n or_o overseer_n yet_o be_v well_o enough_o content_v with_o their_o condition_n and_o where_o they_o meet_v with_o kind_a master_n think_v nothing_o too_o much_o to_o do_v for_o they_o so_o that_o it_o be_v great_a inhumanity_n and_o pity_n to_o wrong_v they_o every_o sunday_n which_o be_v the_o only_a day_n of_o rest_n to_o they_o and_o shall_v be_v set_v apart_o for_o the_o service_n of_o god_n they_o employ_v either_o in_o get_v of_o the_o bark_n of_o tree_n and_o make_v of_o rope_n with_o it_o which_o they_o truck_v away_o for_o shirt_n drawer_n or_o other_o conveniency_n or_o else_o spend_v the_o day_n in_o dance_v wrestle_a describe_v isle_n of_o st._n christopher_n describe_v or_o other_o merriment_n st._n christopher_n so_o call_v from_o christopher_n columbus_n the_o first_o discover_v thereof_o seat_v in_o the_o latitude_n of_o 17_o degree_n 25_o minute_n in_o circuit_n about_o 75_o mile_n the_o soil_n be_v light_a and_o sandy_a and_o very_o apt_a to_o produce_v several_a sort_n of_o fruit_n provision_n and_o commodity_n as_o sugar_n tobacco_n cotton_n ginger_n etc._n etc._n this_o isle_n by_o reason_n of_o its_o several_a great_a and_o steep_a mountain_n in_o the_o midst_n from_o which_o spring_n the_o river_n which_o plentiful_o water_v the_o land_n many_o of_o which_o be_v hot_a and_o sulphurous_a with_o horrid_a precipice_n and_o thick_a wood_n render_v it_o impassable_a through_o the_o midst_n on_o the_o sea_n side_n be_v a_o salt_n pit_n not_o far_o from_o which_o be_v a_o small_a isthmus_n of_o land_n which_o reach_v within_o a_o mile_n and_o a_o half_a of_o the_o isle_n of_o neivis_n this_o isle_n be_v very_o delightful_a and_o of_o a_o most_o delectable_a prospect_n for_o if_o the_o eye_n be_v direct_v downward_o from_o the_o top_n it_o have_v a_o prospect_n of_o curious_a garden_n which_o gentle_o descend_v to_o the_o sea_n side_n and_o in_o regard_n of_o the_o continual_a ascent_n of_o the_o isle_n the_o low_a stage_n or_o story_n do_v not_o debar_v the_o eye_n of_o the_o pleasant_a prospect_n of_o that_o which_o lie_v at_o a_o remote_a distance_n which_o be_v terminate_v by_o those_o high_a mountain_n and_o that_o which_o make_v the_o prospect_n the_o more_o delectable_a in_o the_o several_a plantation_n be_v the_o fair_a house_n cover_v with_o glaze_v slate_n this_o isle_n be_v divide_v into_o four_o canton_n or_o quarter_n two_o of_o which_o be_v possess_v by_o the_o english_a and_o two_o by_o the_o french_a which_o part_n be_v not_o so_o well_o water_v as_o those_o of_o the_o english_a but_o better_a for_o tillage_n and_o not_o so_o hilly_a the_o english_a have_v two_o fortify_v place_n one_o command_v the_o great_a haven_n and_o the_o other_o a_o descent_n not_o far_o from_o point_n de_fw-fr sable_a and_o the_o french_a have_v four_o strong_a fort_n the_o chief_a of_o which_o command_v the_o haven_n and_o be_v call_v basse_fw-fr terre_n and_o for_o the_o better_a security_n of_o each_o other_o constant_a guard_n at_o their_o fort_n be_v keep_v in_o the_o part_n belong_v to_o the_o english_a be_v five_o church_n for_o divine_a worship_n the_o chief_a place_n belong_v to_o the_o french_a be_v at_o basse-terre_n be_v a_o town_n of_o a_o good_a bigness_n and_o garnish_v with_o well_o build_v house_n where_o the_o merchant_n have_v their_o storehouse_n and_o be_v well_o inhabit_a here_o be_v a_o large_a and_o fair_a church_n also_o a_o public_a hall_n for_o the_o administration_n of_o justice_n a_o fair_a hospital_n for_o sick_a people_n and_o a_o stately_a castle_n which_o be_v the_o residence_n of_o the_o governor_n of_o a_o most_o pleasant_a situation_n on_o the_o foot_n of_o a_o high_a mountain_n not_o far_o from_o the_o sea_n have_v spacious_a court_n delightful_a walk_n and_o garden_n describe_v nieves_n describe_v nieves_n or_o mevis_n not_o far_o from_o st._n christopher_n as_n before_o note_v of_o a_o small_a extent_n not_o exceed_v 18_o mile_n in_o circuit_n in_o the_o midst_n of_o the_o isle_n be_v a_o mountain_n of_o a_o great_a height_n but_o of_o a_o easy_a access_n and_o well_o clothe_v with_o wood_n and_o about_o this_o mountain_n be_v the_o plantation_n which_o reach_v to_o the_o seashore_n here_o be_v divers_a spring_n of_o fresh_a water_n and_o one_o of_o a_o hot_a and_o mineral_n quality_n not_o far_o from_o who_o spring_n head_n be_v bath_n make_v which_o be_v much_o resort_v unto_o it_o be_v indifferent_a fertile_a and_o have_v store_n of_o deer_n and_o other_o game_n for_o hunt_v and_o be_v find_v to_o